Trigonometrymedium · Past Paper

From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Find the tower height.

A7(√3+1) m
B7√3 m
C14 m
D7(√3-1) m

✓ Correct Answer: A7(√3+1) m

Distance to tower d = 7/tan 45 = 7. Extra height x = 7*tan 60 = 7√3. Total = 7 + 7√3.

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