question archive From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 35°
From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 35°
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From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 35°.
Find the height of the dam to the nearest meter.
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We can see that we have a right triangle by which we can apply the trigonometric identities. We know that
tanθ = opposite side / near side
tanθ = height of the dam / distance from point to base
tan33° = height of the dam / 340m
It means that
height of the dam = 340m tan33°
height of the dam = 220.79858 m
nearest meter
height of the dam ≈ 221m
Please see the attached file for the complete solution
