Question

Find the value of x. Round the length to the nearest tenth.

Answer 1

Answer:

A

Step-by-step explanation:

The angle on the right side of the triangle is 10° ( alternate angle )

Since the triangle is right with hypotenuse x use the sine ratio to solve for x

sin10° = $\frac{opposite}{hypotenuse}$ = $\frac{200}{x}$

Multiply both sides by x

x × sin10° = 200 ( divide both sides by sin10° )

x = $\frac{200}{sin10}$ ≈ 1, 151.8 m

Answer 2

Answer:

The correct answer is first option

1151.8 m

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin ?  = Opposite side/Hypotenuse

Cos ? = Adjacent side/Hypotenuse

Tan ? = Opposite side/Adjacent side

To find the value of x

From the figure we can see a right angled triangle.

We can write,

Sin 10 = opposite side/Hypotenuse

 = 200/x

x = 200 * Sin 10

 =  200 / 0.1736

 = 1151.8

The correct answer is first option

1151.8 m