From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of 20 m high building are 45° and 60° respectively. Find the height of the transmission tower.
Answers
the height of the transmission tower. = 14.64 m
Step-by-step explanation:
Let say height of Transmission tower = h m
Height of bottom of Tower = 20 m
Height of Top of tower = 20 + h m
Tan 45° = Height of bottom of Tower / Distance of point on ground from building
=> 1 = 20/ Distance of point on ground from building
=> Distance of point on ground from building = 20 m
Tan 60° = Height of Top of Tower / Distance of point on ground from building
=> √3 = (20 + h)/20
=> 20√3 = 20 + h
=> h = 20√3 - 20
=> h = 14.64
the height of the transmission tower. = 14.64 m
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here is your answer mate ✔✔
