To measure the height of a cloud, you place a bright searchlight directly below

Question

To measure the height of a cloud, you place a bright searchlight directly below the cloud and measure the angle of elevation of the cloud to be 83°. How high is the cloud? Round your answer to the nearest foot a) O 896 the beam straight up. Prom a point 100 feet away from the base of the searchlight, you b) 821 c) 0814 d) 0397 e) O 123 D ONone of these. Question 10 A ramp leading to the freeway overpass is 220 feet long and rises 32 feet. What is the angle of elevation of the ramp to the freeway? a) 053 b) 81.64 c)13.38 d) 8.36 e) 8.28 D None of these. MacBook Air

Explanation / Answer

angle of elevation = 83 degrees

base = 100 m

applying tan rule

tan 83 = height / 100

height = tan 83 * 100

height = 814.434

height = 814 m

option c is correct

2) ramp is 220 feet long

and height = 32 feet

applying sine rule

sin theta = 32 / 220

theta = sin^-1 ( 32/ 220)

= 8.3636 degrees

option d is correct

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