Trig Ch. 1 Word Problems

829 feet

A person is standing 400ft from the base of a mountain and measures the angle of elevation from the ground to the top of the mountain to be 25°. The person walks 500ft back and measures the angle of elevation to be 20°. How tall is the mountain?

4/5

A point on the terminal side of angle θ is given. Find the exact value of the indicated trig function of θ. (6,8) Find sinθ

8

Find AB

34°

Find m∠A

sinθ=24/25 cscθ=25/24 cosθ=-7/25 secθ=25/-7 tanθ=24/-7 cotθ=-7/24

Find the exact value of each of the remaining trig functions of θ. cosθ=-7/25, θ in QII

337.8 feet

Juanito is flying a kite and realizes that all 500 feet of string are out. Margie measures the angle of the string with the ground and finds it to be 42.5°. How high is Juanito's kite above the ground?

75.1 feet

Mayfield's flag pole is 15 feet high. Tamara measured an angle of 11.3° to the top of the pole. Tamara is 62" tall. How far from the flagpole is Tamara standing?

29°

Find the reference angle for the angle -29°

7.2 miles

Juan and Romella are standing 10 miles apart. The coastline is straight and they can both see the same ship in the water. The angle between the coastline and the line between the ship and Juan is 35°. The angle between the coastline and the line between the ship and Romella is 45°. How far is the ship from Juan?

47.4°

The distance between Tom and Dick is 153 feet, the distance between Tom and Harry is 201 feet, and the distance between Dick and Harry is 175 feet, what is the angle between Dick, Harry, and Tom?

√1/2

Use reference angles to find the exact value of the expression cos 405°. Do not use a calculator

x=17.1

Find the measure of each angle indicated. Round to the nearest 10th.

x=22.6

Find the measure of each angle indicated. Round to the nearest 10th.

80°

Find the reference angle for the the angle 280°

sinθ=-12/15 cscθ=15/-12 cosθ=3/5 secθ=5/3 tanθ=-4/3 cotθ=-3/4

The point given below is on the terminal side of an angle θ. Find the exact value of the six trigonometric functions of θ. Simplify all answers (9,-12)