The angle of elevation of the top of a pole standing on a horizontal plane from a point \( \math...

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The angle of elevation of the top of a pole standing on a horizontal plane from a point \( \mathrm{P} \) is \( \alpha \). After walking a distance \( d \) towards the foot of the pole the angle of elevation is found to be \( \beta \). The height of the pole is
a. \( \frac{d}{\cot \alpha+\cot \beta} \)
b. \( \frac{\mathrm{d}}{\cot \alpha-\cot \beta} \)
c. \( \frac{d}{\tan \alpha-\tan \beta} \)
d. \( \frac{\mathrm{d}}{\tan \alpha+\tan \beta} \)
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