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Week 14 TEST Unit 4 Right Triangle

Last updated about 3 hours ago

18 questions

Note from the author:

Please only submit work for each individual problem. Remember to show all of your work for full credit.

Instructions

Please only submit work for each individual problem. Remember to show all of your work for full credit.

Required

4

Required

4

Required

6

Required

4

Required

4

Required

6

Required

6

Required

6

Required

4

Required

4

Required

4

Required

4

Required

4

Required

8

Required

8

Question 15

15.

Required

8

Required

8

Required

8

Question 1

1.

1. For question 1 solve for x. Round your answer to the nearest tenth.

12

20.5

Question 2

2.

2. For question 2 solve for x. Round your answer to the nearest tenth. ∆DEF is an equilateral triangle. (4pts)

22.5

Question 3

3.

Westfalls is 6 miles south of Edenville and Concord is 11 miles west of Westfalls. What is the distance from Edenville to Concord? SHOW YOUR WORK and round to the nearest tenth of a mile. Write your answer in a complete sentence for full credit. (6pts)

Question 4

4.

Directions: Classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle.

6,13,20

Not a triangle

Acute

Question 5

5.

Directions: Classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle.

10, 24, 26

Not a triangle

Acute

Question 6

6.

Directions:  Find the value of each variable. Keep your answer in simplest radical form. 

x = __________
y = __________

Question 7

7.

Directions:  Find the value of each variable. Keep your answer in simplest radical form. 

x = __________
y = __________

Question 8

8.

Directions:  Find the value of each variable. Keep your answer in simplest radical form.  (6pts)

x = __________
y = __________
z = __________

Question 9

9.

Directions: Solve for x.  Round your answer to the nearest tenth. 

x = __________

Question 10

10.

Directions: Solve for x.  Round your answer to the nearest tenth. 

x = __________

Question 11

11.

Directions: Solve for x.  Round your answer to the nearest tenth. 

x = __________

Question 12

12.

Directions: Solve for x.  Round your answer to the nearest tenth. 

x = __________

Question 13

13.

Directions: Solve for x.  Round your answer to the nearest tenth. 

x = __________

Question 14

14.

14. (8pts)Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form.

sin A = __________
cos A = __________
tan A = __________

SHOW ALL YOUR WORK FOR FULL CREDIT Use a picture to help solve the problem.  Round all answers to the nearest tenth.

(8pts)A park bench sits 778 feet from the base of the Gateway Arch in St. Louis, Missouri.  The angle of elevation from the ground where the park bench sits to the top of the Gateway Arch is 37°. How tall is the Gateway Arch? Write your answer in a complete sentence for full credit.

Question 16

16.

16. SHOW ALL YOUR WORK FOR FULL CREDIT Use a picture to help solve the problem. Round all answers to the nearest tenth.

16.(8pts) The Tower of Terror ride in Disney World, Florida is 197 feet tall. If Josh is standing 127 feet from
the base of the ride, what is the angle of elevation from the point where Josh is standing to the top of the tower? Write your answer in a complete sentence for full credit.

Question 17

17.

17. SHOW ALL YOUR WORK FOR FULL CREDIT Use a picture to help solve the problem. Round all answers to the nearest tenth.

17. (8pts)The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 58°. If the telephone pole is 16 feet tall, what is the distance between the pole and the tree?Write your answer in a complete sentence for full credit.

Question 18

18.

18. SHOW ALL YOUR WORK FOR FULL CREDIT Use a picture to help solve the problem. Round all answers to the nearest tenth.

18.(8pts) A helicopter flying 3,770 feet above ground spots the top of a 150-foot tall tower at an angle of depression of 67°. How far must the helicopter fly to be directly over the tower? Write your answer in a complete sentence for full credit.

22.5

15.9

17.5

17.5

12

20.5

15.9

Right

Obtuse

Right

Obtuse