Annette is standing 50 m away from a Ferris wheel at a local fair. She always brings her clinometer to the fair with her and is able to measure the angle of elevation to the bottom and the top of the Ferris wheel. She finds that the angle of elevation to the top is 34° and the angle of elevation to the bottom is 11°. To the nearest metre, what is the radius of the Ferris wheel?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section1.1: Angles, Degrees, And Special Triangles
Problem 24PS: Figure 20 shows a walkway with a handrail. Angle is the angle between the walkway and the...
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Question 1:

A farmer has a triangular plot of land. One side of the land measures 800 m and another measures 600 m. If the angle between those two sides is 30°, find the total area of the land. Do not include the units in your response.

Question 2

 From a boat sailing due East, a lighthouse is observed at a bearing of 050°.

After sailing for 6.5 km, the same lighthouse has a bearing of 025° from the boat.

Find the distance between the lighthouse and the present position of the boat.

Give your answer, in km, correct to one decimal place. Do not include the unit with your answer.

 

Question 3

 What is the perimeter of an equilateral triangle whose height is 3 cm? Give your answer correct to 3 significant figures.

 

Question 4

Annette is standing 50 m away from a Ferris wheel at a local fair. She always brings her clinometer to the fair with her and is able to measure the angle of elevation to the bottom and the top of the Ferris wheel. She finds that the angle of elevation to the top is 34° and the angle of elevation to the bottom is 11°. To the nearest metre, what is the radius of the Ferris wheel?

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