In a right triangle, what do you call the ratio of lengths of the adjacent side of an acute angle to the hypotenuse?

Q: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

A:

Q: What is the height of a right triangle with an angle that measures 60 degrees and a base of 8?

A: We first sketch the situation roughly. Let the height is h

Q: Which image shows the correct ratios for a 45-45-90 triangle that can be used as a formula to figure…

A: According to the Pythagorean theorem, the square of a hypotenuse of a right triangle is equal to the…

Q: If the measures of the angles of a triangle are in the ratio 1:2:3. are the lengths of the sides in…

A: The measure of the angles of a triangle are in the ratio of 1:2:3   We know that the sum of all…

Q: (4x+37)° (7x+10)°

A:

Q: What is the sum of the exterior angles of a pentagon?

A: Here we want to find sum of exterior angles 9f Pentagon.

Q: In what ratio is the joint of A(3,-1) and B(-7,9) divided by the point P(-1,b)Hence find the value…

A:

Q: In a right triangle with a leg of 5 and a hypotenuse of 10, find the measures of all angles

A:

Q: What is the height of a right triangle with an angle that measures 45° and a base of 12. The height…

A: Suppose ABC Is right angle triangle Base BC=12 unit <ABC= 450 Find Height AC we know that…

Q: On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet? degrees In a circle…

A: follow next step

Q: In a national park, the distance between the base of two cliffs is 312 feet.  The angle of elevation…

A:

Q: A right triangle has a 45 degree angle. The hypotenuse is twelve. What is the length of the other…

A:

Q: Consider the angle θ. What is the value of the ratio Opposite/Hypotenuse​?

A: Given that: A right triangle ACB as shown.

Q: If the measures of the three angles in a triangle are known, can you solve for the lengths of the…

A: If the measures of the three angles in a triangle is known then we can't find the length of the…

Q: Consider a right angle triangle with side lengths a and a2, where the hypotenuse can be calculated…

A:

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: Given :

Q: Use the fact that the longest side of a triangle is across from the largest angle to explain why the…

A: Here we have to prove that the hypotenuse is always the longest side in the right triangle.

Q: Two triangles are____________ if the lengths of two corresponding sides are equal and the angles…

A:

Q: A broken flagpole forms a right triangle with the ground. If the angle which the broken part makes…

A:

Q: The angles in a quadrilateral have a ratio 1:3:4:8. What is the measurement of the largest angle?

A: Given: The angles in a quadrilateral have a ratio of 1:3:4:8       To determine: the measurement of…

Q: The ratio of the interior angle of a triangle is 3:4:5, if its perimeter measures 40 cm. Find the…

A: Let's find.

Q: The side opposite to the Right angle in a right angled triangle is the hypotenuse True or False?

A: True

Q: The measure of two complementary angles are in the ratio 1 : 9. What are the degree measures of the…

A: Complimentary angle

Q: Find the 6 trig ratios for the angle 6 whose terminal side contains the point (-2, –4)

A: Given: The angle contains the point (-2, -4).

Q: A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

A: Sum of all angle of a triangle = 180° Suppose triangle ABC,  One angle in right triangle = 90°…

Q: If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross…

A: The diagonal cross section is:-

Q: Given the lengths of the three sides of a triangle (SSS), why is the law of cosines used to find the…

A: The cosine rule of triangle are: cosA=b2+c2-a22bccosB=a2+c2-b22accosC=a2+b2-c22ab If the length of…

Q: Suppose a right triangle has a leg that measures 3 and a hypotenuse that measures 12. What is the…

A: A right triangle has a leg that measures 3 and a hypotenuse that measures 12

Q: Suppose a right triangle has a leg that measures 5 and a hypotenuse that measures 10. What is the…

A: One Side(B) of right triangle is = 5 Hypotenuse is = 10  Third side (P) =?

Q: In a 45°-45°-90° triangle with legs 20 cm long, the length of the altitudeto the hypotenuse is…

A: Given: A 45°-45°-90° triangle with legs 20 cm long is given To Find: The length of the hypotenuse

Q: The angles of a triangle are in the ratio 2:3:4. Express the angles in circular measure as well as…

A: Solution is given: Hope the answer is helpful.

Q: What is the height of a right triangle with an angle that measures 60 degrees and a base of 14…

A:

Q: You want to make an 80 angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A:

Q: The length of the longer base of an isosceles trapezoid is 12 cm. The length of each side is 5 cm.…

A:

Q: A right triangle is inscribed in a circle with a radius of length 5 cm. If one of the angles of the…

A:

Q: A right angle is divided into two angles in a ratio of 2:3. How many degrees are in each acute…

A: We know the right angle=90° We have given right angle is divided into two angles in a ratio 2:3 Let…

Q: A landowner says that his property is triangular, with one side 475 m long and another side 350 m…

A: We need to find possible lengths of triangles.

Q: What is the sum of the measures of the exterior angles of the polygon shown below? If necessary,…

A: Concept :  Exterior angle of n-sided polygon is 360n sum of exterior angle of any polygon is always…

Q: Is it possible to draw a triangle whose angles measure 70°, 70°, and 50°?

A: Not possible Option d is the correct answer.

Q: In a right triangle, The side opposite angle O has a length of 29.0 meters, the side adjacent to…

A: Use formula of trigonometric ratio cot

Q: Find the sum of the measures of the interior angles of a pentagon.

A: A pentagon ABCDE is shown in the figure below.

Q: Two triangles are ___________ if corresponding angles are equal and the lengths of the corresponding…

A: Recall that for similar triangles the measure of corresponding angles in both the triangles be…

Q: What is the formula to find the length of a triangle?

A: If the lengths of the sides are a,b,c then the length is represented by the perimeter  of triangle…

Q: What is the exact height of a right triangle with an angle that measures 30 degrees adjacent to a…

A:

Q: Find the measures of the angles of a right triangle whose legs are 22 cm and 35 cm long. Round to…

A: sum of all angles of triangle is 180 degrees

Q: in a right angled triangle, one of the angles is 69 degrees and the hypoteneuse is 5m long, to the…

A: We know, for this right angled triangle,        sin 690 = Perpendicular/hypoteneous…

Q: the length of the angle bisector of one base angle of an isosceles triangle whose leg is 50 cm and…

A:

Q: The ratio of the measures of the three angles of triangle are 3:6:1. 1. Find the actual measurement…

A: Given,   Angles are in the ratio = 3:6:1   Let the angles be 3x, 6x, x Sum of angles =180…

Q: The angles of a triangle are in the ratio 2:3:4. What is the measure of the smallest angle?

A: Let x be the common ratio of the angles.   Thus, the angles of the triangle are 2x, 3x and 4x.…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.