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Unit 6 Review for Chapter 9

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Last updated over 1 year ago
16 questions
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Question 1
1.

Given side lengths of 7, 10, and 12 classify the triangle.
Note: a2 + b2 = c2

Question 2
2.

Find the exact length of side AC.

Note: a2 + b2 = c2

Question 3
3.

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

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

Question 4
4.

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

Note: SOH-CAH-TOA

Question 5
5.

Find the measure of the unknown angle.

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

Question 6
6.

What is the trigonometric ratio for cos D?


Note: Cosine = adj/hyp

Question 7
7.

Find the exact value of y.

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

Question 8
8.

1. Find the exact value of x.

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

Question 9
9.

A right triangle has a base of 45 m and a height of 24m, find the length of the hypotenuse.
Note: a2 + b2 = c2

Question 10
10.

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.

Question 11
11.

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

Question 12
12.

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

Question 13
13.

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

Question 14
14.

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.

Question 15
15.

What is the perimeter of the square to the nearest cm?
Note: Use your answer from problem 14 to help you.

Question 16
16.

What is the area of the square to the nearest square inch?
Note: Use your answer from problem 14 to help you.