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Question

The angle of elevation of the top of a tower at a horizontal distance equal to the height of the tower from the base of the tower is 


A
30
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B
45
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C
60
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D
any acute angle
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Solution

The correct option is B $$\displaystyle 45^{\circ}$$
Let the angle of elevation be $$\theta$$, from the same distance from pole as the length of the pole then
$$\tan \theta = \dfrac{distance~ from \ pole}{length\ of\ pole}$$
$$\tan \theta = 1$$
$$\tan \theta = \tan 45$$
$$\theta = 45^{\circ}$$

Mathematics

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