Write down the radius of the orbit of a satellite moving around the Earth if its height above the surface is h and the radius of the Earth is R. Please use appropriate algebraic symbols for multiplication (* for a × b), division (/ for a/b), exponents (a^b for a³), square root (sqrt(a*b/c) for axb/c) etc. Click the "display response" button to check your answer before submitting the question. Rs= Display response

For the right triangle below, what are (a) the length of the unknown side, (b) the tangent of θ (theta), and (c) the sine of φ (phi)?

Let a  =  2i + 5k  and  b  =  i + 4j + k. Find the angle between a and b.Express your answer in degrees, rounded to the nearest degree.

For the triangle shown in the figure below what are each of the following? (Let y = 52.0 m and r = 65.0 m. Assume the triangle is a right triangle.) (a) the length of the unknown side x  (b) the tangent of θ (c) the sin of ϕ

Review: Trigonometric Ratios in a Right Triangle 2 Please answer the following question(s): 1. Calculate a: 8 cm a = a Note: the angle should be in degrees. If you use inverse trigonometric functions in the Mathtype tool the angle returned is in radians. 5 cm 0 SENSE MAKING What are the maximum and minimum values a can have? Do your calculations support that?

A new physics unit of distance is created and called the Zarkov.  A student informs you 1 Zarkov (1 Za) is exactly equivalent to 8 inches.  Convert 4.44 × 10 5 Z a 3 m i n u t e 2to m 3 h r 2.  If hard to read: asking you to convert Zarkov's squared over minutes cubed to meters squared over hours cubed. Answer in E notation without units in the box.  I am assuming your output units are m 3 h r 2.   Note: for some numbers the computer will convert your E notion to another notation without the E...that will not cost you points. To be clear regarding E notation, I will provide an example of what I'm talking about:

A rectangular parallelepiped has dimensions a, b, and c as shown in the figure below (a) Obtain a vector expression for the face diagonal vector R. (Use the following as necessary: a, b, and c.) (b) What is the magnitude of this vector? (Use the following as necessary: a, b, and c.) R1 (e) Notice that R,, ck, and R, make a right triangle. Obtain a vector expression for the body diagonal vector R, (Use the following as necessary: 3, b, and c.) R2

Please answer the following question(s): 1. Two vectors a and b are added together, the sum of the vectors is as in the figure below. C O a What is the relative angle 'C' between the two vectors to the nearest degree? Assume the following magnitudes: |a| = 6 = 7.5 || = 10 Hint: Use the Law of Cosines and solve for the angle C. Angle C = a 0

All problems will use the conventional Cartesian coordinate system unless noted otherwise. Positive x-axis points to the right, Positive y-axis points up, Angles are measured CCW (counter-clock-wise) from the positive x-axis. When a numerical input is necessary: Enter your answer to 4 significant figures. Use a leading zero for numbers between -1 & 1. Do NOT use Scientific Notation. Angles must be reported with a minimum of 2 decimal places. Report directions as positive angles.  For instance, 350 degrees, not -10 degrees. Use the "standard" coordinate system unless noted otherwise. Regarding the magnitude of an angle between two objects that could be reported with more than one value, submit the smaller value.  Magnitude shall always be reported as a positive number. Value shall be reported either as a positive or negative number based upon the application.  When reporting a value, include the sign. Problem-DD: Consider FIG-DD in the appendix.   Note: For Blocks “A”…

Calculate the value of the error with one decimal place for: z = x/y where x = 8.9 +/- 0.5 and Please enter the answer without +/- sign. y = 4 +/- 0.2