# 3.At a certain time in a day, a church spire PQ, 44 mhigh, casts a shadow RQ, 84 m long. Find the angleof elevation of the top of the spire from the point R.P44 m- 84 m -4. A building is 41 m high. Given that the angle ofdepression of a fire hydrant from the top of thebuilding is 33Â°, find the distance between the firehydrant and the foot of the building.?

Solution: in  Right triangle PQR ,

$\\ tan\alpha =44/84=11/21 \\\Rightarrow \alpha = \arctan 11/21$

Where angle of elevation arctan(11/21)

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