Unit 6 Review for Chapter 9

Given side lengths of 7, 10, and 12 classify the triangle.

Note: a² + b² = c²

Find the exact length of side AC.

Note: a² + b² = c²

Find the measure of angle A. Round to the nearest tenth.

Note: Use your calculator for sin^-1, cos^-1, or tan^-1 .

Which trigonometric ratio would be used to solve for the value of side q?

Note: SOH-CAH-TOA

Find the measure of the unknown angle.

Note: The sum of the angles in a triangle should be 180 deg.

What is the trigonometric ratio for cos D?

Note: Cosine = ^adj/_hyp

Find the exact value of y.

Note: Label the S, L, and H sides before you choose the formula.

1. Find the exact value of x.

Note: Label the S, L, and H sides before you choose the formula.

A right triangle has a base of 45 m and a height of 24m, find the length of the hypotenuse.

Note: a² + b² = c²

In the diagram, △ABC is similar to △DEF. The area of △ABC is 100 cm², find the area of △DEF.

Note: Similar triangles have a scale factor. Their perimeters are proportional to the scale factor. Their areas are proportional to the square of the scale factor.

A sonar operator on a ship detects a submarine that is a horizontal distance of 4000 meters away at an angle of depression of 34˚. How far apart are the two submarines to the nearest meter?

Hint: SOH-CAH-TOA

Scientists can measure the depths of craters on the moon by looking at photos of the shadows. The length of the shadow cast by the edge of a crater is 500 meters. The angle of elevation of the rays of the Sun is 55˚. What is the depth d of the crater. Round your answers to the nearest hundredth.

Hint: SOH-CAH-TOA

You are standing on a footbridge that is 12 feet above a lake. You look down and see a duck in the water. The duck is 7feet away from the footbridge. What is the angle of elevation from the duck to you?

Hint: SOH-CAH-TOA

Given the diagonal of the square is 16 cm. What is the exact length of each side a?

Note: Label your the sides with L and H before choosing a formula.

What is the perimeter of the square to the nearest cm?

Note: Use your answer from problem 14 to help you.

What is the area of the square to the nearest square inch?

Note: Use your answer from problem 14 to help you.