Question

A 16 meter long ladder touches the top of a vertical wall. If this ladder makes an angle of 60° with the wall. Find the height of the wall.
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Answer 1

Answer:

8m

Step-by-step explanation:

here ,ladder and wall makes right angled triangle

hypotenuse=16m

angles are 30,60&90

height of wall=side opposite of 30 degree angle

therefore,height of wall=1/2×hypotenuse

=1/2×16

=8m

Answer 2

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Given :-

Length of ledder = 16 m touches a wall with angle of 60°.

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To Find :-

Height of Wall

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Solution :-

We have formula :-

$\Large{\boxed{\boxed{\sf{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse}}}}}$

_______[Put Values]

⇒ Sin 30° = Wall/16

(Value of Sin 30° = 1/2)

We get,

⇒ 1/2 = Wall/16

⇒2 Wall = 16

⇒Wall = 16/2

⇒Wall = 8

∴ Wall is of 8 meters