SOH CAH TOA
Elevation and Depression
Angles
Rounding
Random
100

Which trig function uses opposite / hypotenuse?

What is sine?

100
The angle from the horizontal looking down is called the __________.

What is the angle of depression? 

100

Find the degree of angle A given opposite = 4 and hypotenuse = 7 to the nearest tenth.

What is 34.8º?

100

Round 4.5833 to the nearest hundredth.

What is 4.58?

100

Given a right triangle with AC = 4, CB = 5, and AB = 6.4, write the sine, cosine, and tangent ratios for <A. 

What is: 

sin A = 5/6.4

cos A = 4/6.4

tan A = 5/4

200

Which trig function uses opposite / adjacent?

What is tangent?

200

The angle from the horizontal looking up is called the ___________.

What is the angle of elevation?
200
Given a right triangle with leg lengths 15 and 15, what are the values of the remaining two angles in the triangle?

What is 45º?

200

Given sin < T = 3/5, what is the value of <T rounded to the nearest tenth? 

What is 36.9º?

200

Given a right triangle with leg lengths AC = 4, BC = 5, and AB = 6.4, write the sin, cos, and tan ratios for <A. 

HINT: set your triangle up properly! Which leg is the hypotenuse?

what is: 

sin A = 5/6.4

cos A = 4/6.4

tan A = 5/4

300

What is SOH CAH TOA used to find?

What are missing sides or angles?

300

A boy is standing 10 feet away from a 35-foot flagpole. Which trig function should be used to find the angle of elevation from the boy to the top of the flagpole?

What is tangent?
300

Given a right triangle with leg lengths 5√3 and 5, what is the angle between the two given legs?

What is 90º?

300

Given tan 63º = 9/x, what is the value of x to the nearest whole number?

What is 5?

300
Solve for x to the nearest hundredth given:

115 cos(21º) = 28/x

 

What is 0.23?

400

Find the value of y to the nearest whole number given the base of a right triangle = 2√3, height = y, hypotenuse = x, and the angle between the x and y is 30 degrees.

What is y = 6?

400

You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees. How far away from the building's base are you? (Round to the nearest tenth.)

What is 50.2?

400
A 10 ft ladder is leaning against a door that is 5√3 ft away from the base of the ladder. What is the angle of depression from the top of the door to the bottom of the ladder?

What is 30º?

400

Given a right triangle where the leg opposite < A = 5 and the hypotenuse = 13, what is the the measure of < A rounded to the nearest whole number? 

What is 23?

400

Solve: -10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2  

What is -18?

500

Find the value of x to the nearest tenth given the base of a right triangle = 2√3, height = y, hypotenuse = x, and the angle between the x and y is 30 degrees.

What is 6.9?

500

What is the angle of elevation of the sun when the length of the shadow of a tree √3 times the height of the tree?

What is 30º?
500

What angle degree has a tangent value of 1?

What is 45º?

500

Given that the measure of angle A = 17º and the adjacent leg = 10 ft, find the hypotenuse of the right triangle to the nearest hundredths place. 

What is 10.46 ft?

500

A flagpole stands on level ground. Two cables (x and y) are attached to the pole 16 ft. above the ground. The combined length of the two cables = 50 ft. If cable y is attached to the ground 12 ft from the base of the pole, what is the measure of the angle that cable x makes with the ground? (Round to the nearest hundredth.)

What is 32.23º?