Question

there is a small island in the middle of a 100m wide river and a tall tree stands on the island. p and q are the points directly opp to each other on two banks and in line with the tree. if the angle of elevation of the top of the tree from p and q are 3o and 45 respectively find the height of the tree

Answer 1

Answer:

The height of the tree is 36.63 m  

Step-by-step explanation:

Step 1:

Given Data:

In rt.△PRS,

x = RS cot 30°

x = RS √3

Step 2:

x = √3 RS........ (i)

In rt.△RSQ,

SQ = RS cot 45°

Step 3:

(100-x) = RS

x=100 - RS........ (ii)

Step 4:

Equating (i) and Equation(ii) we have:

√3 RS = 100 – RS

Step 5:

2.73 RS = 100

RS = 36.63 m  

Answer 2

Answer:

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