Question

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

Answer 1

A

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° =
`(opposite)/(hypotenuse)` =
`(200)/(x)`

Multiply both sides by x

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

x =
`(200)/(sin10)` ≈ 1, 151.8 m

Answer 2

The correct answer is first option

1151.8 m

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