Question 198

The angle of elevation of a tower from a distance of 100 metre from its foot is 30°. Then the height of the tower is

Solution

Height of tower = AB

In $$\triangle$$ABC

=> $$tan\theta = \frac{AB}{BC}$$

=> $$tan30^{\circ} = \frac{AB}{100}$$

=> $$\frac{1}{\sqrt{3}} = \frac{AB}{100}$$

=> $$AB = \frac{100}{\sqrt{3}}$$


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