hanna

You are standing on top of a building, looking at park in the distance. The angle of depression is 44°. If the building you are standing on is 160 feet tall, how far is the park from where you are standing? round to 3 decimal places

Given cot(theta) is undefined and pi/2 <= theta <= 3pi/2 . Find the exact values of the six trigonometric functions of theta

What is theta?

Given theta = 10pi/3. Find the exact values of the six trigonometric functions of theta. How would you draw the angle? Find the reference angle.

Given cot(theta) is undefined and pi/2 <= theta <= 3pi/2 . Find the exact values of the six trigonometric functions of theta

23. Two trees stand opposite one another, at points A and B, on opposite banks of a river. From a point C 100 feet further down the riverbank from the first tree (A) a surveyor measures the angle ACB to be 59°15’45”. How far is the surveyor from the tree at point B?

31. Given tan(theta) = -5/4 and cos(theta) > 0, find the exact values of sin(theta) and sec(theta). How would you sketch this?

Find the distance of a boat from a lighthouse if the lighthouse is120 m tall,and the angle of depression is 16 degrees.

Given an angle of 1.812 radian, give the reference angle in both radian and degrees.

Solve and simplify if possible: (x^2/x - 2) - (4/x - 2)

for f(x) = 1/x^2-3, find f(2 + h)

12. Factor completely: 12x^4 - 16x^3 + 4x^2

16. Solve and simplify id possible: x^2/x-2 - 4/x-2

17. Give and example (by writing an equation) of each of the following:

a. A function whose domain is [0, infinity)

b. a function whose domain is (- infinity, infinity)

c. a function whose domain is (-invinity, 0) u (0, infinity)

Another student says that “For this experiment, the person with the most mass does the most work and has the most power.” How would you try to prove or disprove this conclusion using your data? Do you think that the student is correct? Why or why not?

Does increasing the work affect the amount of power generated climbing the stairs? Does walking up the stairs faster affect the power generated? How would you describe the mathematical relationship between these two parameters?

A television camera in a blimp is focused on a football field with angle of depression2 5° 48' . A range finder on the blimp determines that the field is 925 m away. How high up is the blimp?

what is sin(13pi/4)? explain?

give and example of a real number theta for which cos(theta) is positive and sin(theta) is negative and give an example of a real number theta for which cos(theta) is negative and sin(theta) is positive

Please help??

if theta is any real number, is it possible for sin(theta) = 5/4? Why or why not?

if theta is any real number, is it possible for sin(theta) = 0.25 and cos(theta) = 0.5? Why or why not?

Every year our town holds a 4th of July celebration, and we have all kind of activities for the kids (eating contests, face painting etc.) and lots for the adults (drinking, mostly) but nothing for people the ages between 13-20. What kind of activities could there be for teenagers and young adults who are too old for slip-n-slides but too young to enjoy the things set up for adults?

use the given information to evaluate sin(a - B)

sin a = -7/25, cot B = 8/15; neither a nor B are in quadrant III

use the given inforation to evaluate sin(a + B)

tan a 4/3, cos B = -12/13, neither a nor B are in quadrant III

Use the given information to evaluate cos(a - B)

tan a = 4/3, sin B = -7/25; pi < a <3pi/2, 3pi/2< B < 2pi