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U2L7B: SOLVE FOR ANGLES: RIGHT TRIANGLE TRIG WORD PROBLEMS

Last updated almost 5 years ago

7 questions

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Question 1

1.

Jack is standing on the top of the high diving board at the local pool which is 50 feet high. His friend Diane is in the water. The direct (diagonal) distance from Jack to Diane is 75 feet. What is the angle of elevation from Diane in the water to Jack on the diving board? Draw a picture that represents this situation and show all your work to solve. Round your answer to the nearst WHOLE degree.

Question 2

2.

A flagpole that is 45 feet high casts a shadow along the ground that is 52 feet long. What is the angle of elevation from the tip of the shadow to the top of the flagpole? Draw a picture that represents this situation and show all your work to solve. Round your answer to the nearest WHOLE degree.

Question 3

3.

The Washington Monument is 555.47 feet tall. You are standing 10 feet from the base of the monument. What is the angle of elevation from your feet to the top of the Monument?Draw a picture that represents this situation and show all your work to solve. Round your answer to the nearest WHOLE degree.

Question 4

4.

Suppose a commercial airliner begins its descent 9.4km above the ground. The plane traveled a horizontal distance of 108.44 km. What is the angle of depression at which the pilot began the descent? Draw a picture that represents this situation and show all your work to solve. Round your answer to the nearst WHOLE degree.

Question 5

5.

A kite string is staked into the ground and the kite is a verticle distance of 115 ft above the ground. The length of the string to the kite is 150 feet. What is the angle of elevation the kite string makes with the ground? Draw a picture that represents this situation and show all your work to solve. Round to the nearest WHOLE degree.

Question 6

6.

Suppose a commercial airliner is preparing to descend to land at the airport which is a horizontal distance of 187.7 miles away. The direct (diagonal) distance from the plane to the airport is 193.4 miles away. What is the angle of depression at which the pilot began the descent? Draw a picture that represents this situation and show all your work to solve. Round your answer to the nearst WHOLE degree.

Question 7

7.

Draw a picture. Write an equation and solve the equation. Show all work. Round your answer to the nearest tenth.