2 Answers

Andrey Neverov · Answer 1 · 2021-09-10T08:24:55+0000

The value of ∠x is 30⁰. Option B is correct.

How to determine the ratio value of ∠x in the figure.

From the given figure,

The triangle formed by ladder is right angled triangle

∠x⁰ is opposite to the horizontal distance between the foot of the and the point where the ladder touches the ground.

The ladder form the hypotenuse of the triangle.

Therefore,

sinθ = opposite/hypotenuse

θ is the angle opposite to distance between the wall foot and the ladder.

θ = x⁰

opposite = 10 ft

hypotenuse = 20 ft

so,

Sin(x) = 10/20

sin(x) = 1/2

find the sine inverse of (0.5)

x = sin⁻¹(0.5)

x = 30⁰

The value of ∠x is 30⁰. Option B is correct.

Ashley Staggs · Answer 2 · 2021-09-12T05:59:36+0000

Answer: B) The value of x is 30°

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

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

Substituting the values we get

$\sin x = (10)/(20) =(1)/(2)$

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

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

We get

$x= 30^\circ$

Hence, the value of x is 30°

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