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Right Triangles--Week in Review

Last updated about 5 years ago

7 questions

1

1

3

3

3

3

6

Question 1

1.

Determine which drawing correctly matches the problem stated:
Nailah is 70 feet away from the base of her apartment building. When Nailah looks up at an angle of elevation of 24o she can see her friend Aaliyah waving to her from her apartment window. How high up is Aaliyah's window?

A

B

C

D

Question 2

2.

Determine which drawing correctly matches the problem stated:
Sofia is at the top of a water slide which makes an angle of elevation with the ground of 65o. The vertical height of the water slide is 90 feet. What is the length of the water slide itself?

A

B

C

D

Question 3

3.

A person in a hot air balloon is looking down with an angle of depression of 36o at their car which is 75 feet away from them (straight line distance). What is the height of the hot air balloon? Round your answer to two decimal places (to the nearest hundredth). Include your support work/calculations to be eligible to earn full credit.

Question 4

4.

The first big hill on the rollercoaster The Thunderbolt is 129 feet in length with a vertical height of 90 feet. What is the angle of elevation for this hill of the rollercoaster? Round your answer to two decimal places (to the nearest hundredth). Include your support work/calculations to be eligible to earn full credit.

Question 5

5.

An oak tree casts a shadow that is 21 m long. The angle of elevation from the tip of the shadow to the top of the oak tree is 51o. What is the height of the tree? Round your answer to two decimal places (to the nearest hundredth). Include your support work/calculations to be eligible to earn full credit.

Question 6

6.

In right triangle WXY, tan<X = 18/7. Determine cos<X.
Include your support work/calculations to be eligible to earn full credit.

Question 7

7.

Calculate the area and perimeter. Include your support work/calculations to be eligible to earn full credit.