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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10

Question:

A tower stands vertically on the ground. From a point on the ground $20$ m away from the foot of the tower, the angle of elevation of the top is found to be $60^\circ$. Find the height of the tower correct to two decimal places (use $\sqrt3=1.732$).

Step-by-Step Solution

Key Concept: Apply tanθ = height/distance, then substitute the given decimal approximation.
$\tan60^\circ=\dfrac{h}{20}\Rightarrow\sqrt3=\dfrac{h}{20}$. [1.0 Mark]

$h=20\sqrt3$. [1.0 Mark]

$h=20\times1.732=34.64$ m. [1.0 Mark]

Correct Answer:
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