The tallest freestanding tower in the world in the cn tower is toronto canada the tower includes a rotating restaurant high above the ground from a distance of 100 metres the angle of elevation of the top of the tower is 60° then angle of elevation to the resident from the same point is 45° how tall is the cn tower how far is the pinnacle of the tower is a restaurant located
Answers
Restaurant is located 100(√3 - 1) m = 73.2 m below the pinnacle of the tower
Step-by-step explanation:
.the angle of elevation of the restaurant from the same vantage point (100 m Distance) is 45 degree
=> Tan 45 = Height of Restaurant from ground / Distance of point from ground
=> 1 = Height of Restaurant from ground / 100
=> Height of Restaurant from ground = 100 m
the angle of elevation to the pinnacle of the tower = 60°
=> Tan 60 = Height of pinnacle of the tower / 100
=> √3 = Height of pinnacle of the tower / 100
=> Height of pinnacle of the tower = 100√3 m
Restaurant is located 100√3 - 100 = 100(√3 - 1) m = 73.2 m below the pinnacle of the tower
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