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Some Applications of Trigonometry
CH09 Question Bank
CBSE_CH09_QUESTION_BANK
Grade 10

Question:

A ladder leaning against a wall makes an angle of $60^\circ$ with the ground. If the ladder is $8$ m long, the height it reaches on the wall is:

$4$ m
$4\sqrt3$ m
$8$ m
$8\sqrt3$ m

Step-by-Step Solution

Key Concept: The height reached is opposite the angle at the base; the ladder is the hypotenuse.
Height $=8\sin60^\circ=8\times\dfrac{\sqrt3}{2}=4\sqrt3$ m. [1.0 Mark]

Correct Answer: $4\sqrt3$ m
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