Question

1. If the angle of elevation of the sun at a given time is 30°, then find the length of the
shadow cast by a tower of 150 feet height at that time.
2. At some time of the day the length of the shadow of a tower is equal to its height.
Find the sun’s altitude at that time.
3. An observer, 1.7 m tall, is 20√3 away from a tower. The angle of elevation from
the eye of observer to the top of tower is 30°. Find the height of the tower.
4 A person standing on the bank of a river observes that the angle of elevation of the
top of a tree standing on the opposite bank is 60°. When he moves 40m away from
the bank, he finds the angle of elevation to be 30°. Find the height of the tree and
the width of the river.

Answer 1

(3 photos attached)

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