Question

A person standing on the bank of a river observes that the angle of
elevation of the top of a tree standing on opposite bank is 60'. When he
moves 30 m away from the bank, he finds the angle of elevation to be 30'.
Find the height of the tree and width of the river. [Take V3 = 1.732]​

Answer 1

Answer:

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Answer 2

Width of River 15 m , Height of the Tree  = 25.98 m

Step-by-step explanation:

Let say Width of River = w

& Height of Tree = h

Tan 60°  = h/w

=> √3 = h/w

=> h = w√3

Tan30°  = h/(w + 30)

=> 1/√3  = w√3/(w + 30)

=> w + 30 = 3w

=> 2w = 30

=> w = 15

Width of River 15 m

h = w√3

=> h = 15 √3

=> h = 15 * 1.732

=> h = 25.98

Height of the Tree  = 25.98 m

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