Vocabulary
Sin/Cos/Tan
Inverse Sin/Inverse Cos/ Inverse Tan
Special Right Triangles
Tell me words
100

This trig function is used when you know the opposite sise of and angle and the hypotenuse of a right triangle.

What is sine or inverse sine?

100

The sine of angle A.

What is 

10/26 = 5/13 = 0.38 ?

100

The measure of angle A

What is 23 degrees?

100

The side length of AB

What is 2?

100

A triangular roof has an angle of elevation of 35° at the base. The horizontal distance from the edge of the roof to the peak is 20 feet. How high is the peak of the roof?


What is 14 feet?

200

This trig function is used when you know the adjacent side of and angle and the hypotenuse of a right triangle.

What is cosine or inverse cosine?

200

The cosine of angle C.

What is 

10/26 = 5/13 = 0.38 ?

200

The measure of angle C

What is 67 degrees?

200

The side length of AC

What is 

2 sqrt(2) ?

200

A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25°, how long is the ramp?

T

What is 16.6 feet.

300

This trig function is used when you know the opposite side of and angle and the adjacent side of the same angle of a right triangle.

What is tangent or inverse tangent?

300

The tangent of angle A

What is 

10/24 = 5/12 = 0.42 ?

300

The measure of angle A and angle B

What is 28 degrees (A) and 62 degrees (B)?

300

The side length of CB and AB in simple radical form

What is AB: 6 and CB: 

3 sqrt(3) ?

300
  1. A lifeguard is sitting on a platform, looking down at a swimmer in the water. If the lifeguard’s line of sight is 8 feet above the ground and the angle of depression to the swimmer is 18°, how far away is the swimmer from the lifeguard?


What is 24.6 feet?

400

In this right triangle the side lengths have the relationship of x and 

x sqrt(2)

What is a 45-45-90 right triangle?

400

The sine, cosine and tangent of angle A.

What is 8/17 = 0.47 (sine), 15/17 = 0.88 (cosine), and 8/15 = 0.53 (tangent)?

400

The measure of angle B

What is 

sin^-1(x/z);cos^-1(y/z);tan^-1(x/y) ?

400

The side length of AC and BC

What is 

3 sqrt(2) ?

400

Find the missing side lengths and angles in the right triangle below. Side lengths are rounded to the nearest hundredth, and angles are measured to the nearest degree.

What is 54 degrees (angle C), 8.65 (AC), and 5.09 (BC)?

500

In this right triangle the side lengths have the relationship of x, 2x and 

x sqrt(3)

What is a 30-60-90 right triangle?

500

The sine, cosine and tangent of angle A and angle B

What is y/z (sine), x/z (cosine) and y/x (tangent) for angle A and x/z (sine), y/z (cosine) and x/y (tangent) for angle B?

500

The measure of angle A 

What is 

sin^-1(y/z);cos^-1(x/z);tan^-1(y/x) ?

500

The side lengths of AB and AC

What is 

CA = 2 sqrt(3) and AB = 4 sqrt(3) ?

500

Find the missing side lengths and angles in the right triangle below. Side lengths are rounded to the nearest hundredth and angles are measured to the nearest degree.

What is 71 degrees (angle C), 19 degrees (angle B), and 14.14 (AB)?