Two men are standing on either side of a cliff 100 m high observe the angles of elevation of the top of the cliff
to be 30° and 60° respectively. Find the distance between the two men.(
1.732)
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See the above pictures.I have worked out correctly.....
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Distance between two men = 230.93 m
Step-by-step explanation:
Two men are standing on either side of a cliff
Height of cliff = 100 m
Tan (angle of elevation) = Cliff Height / Horizontal Distance of Man from Cliff
Tan 30° = 100/d1
=> 1/√3 = 100/d1
=> d1 = 100√3
Tan 60° = 100/d2
=> √3 = 100/d2
=> d2 = 100/√3
=> d2 = 100√3/3
d1 + d2 = 100√3 + 100√3/3
= 400√3/3
= 400 * 1.732/3
= 230.93
Distance between two men = 230.93 m
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