Question

The diagram below shows a 20-foot ladder leaning against a wall. The bottom of the ladder is 10 feet from the

Answer 1

Answer: B) The value of x is 30°

Step-by-step explanation:

As shown in figure it is a right angle triangle where

Hypotenuse = 20 ft

Perpendicular  = 10 ft

corresponding to the angle x

As we know trigonometric ratios

$\sin \theta = \dfrac{\text {Perpendicular }}{\text {Hypotenuse} }$

Substituting the values we get

$\sin x = \dfrac{10}{20} =\dfrac{1}{2}$

$\sin x = \sin 30^\circ$

Now as we know if $\sin A = \sin B \Rightarrow A= B$

We get

$x= 30^\circ$

Hence, the value of x is 30°