Raj is viewing the coast from the top of a lighthouse at sea (D). The lighthouse is 420 m from a cliff (AC). Raj measures the angle of elevation to the top of the cliff (A) to be 28° and the angle of depression to the bottom of the cliff (C) to be 18°. The information is represented in the following diagram: 420 m 28° 18° How high is the cliff? Give your answer correct to the nearest metre.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.1: Solving Trigonometric Equations
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The question asks how high is the cliff? Give your answer correct to the nearest metre. 

Question 6
Raj is viewing the coast from the top of a lighthouse at sea (D). The lighthouse
is 420 m from a cliff (AC).
Raj measures the angle of elevation to the top of the cliff (A) to be 28° and the
angle of depression to the bottom of the cliff (C) to be 18°. The information is
represented in the following diagram:
A
420 m
28°
18°
C
How high is the cliff? Give your answer correct to the nearest metre.
Transcribed Image Text:Question 6 Raj is viewing the coast from the top of a lighthouse at sea (D). The lighthouse is 420 m from a cliff (AC). Raj measures the angle of elevation to the top of the cliff (A) to be 28° and the angle of depression to the bottom of the cliff (C) to be 18°. The information is represented in the following diagram: A 420 m 28° 18° C How high is the cliff? Give your answer correct to the nearest metre.
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