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3 years ago

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

Mathematics

2 answers:

levacccp [35]3 years ago

8 0

Answer:

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

Makovka662 [10]3 years ago

4 0

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

<u>To find the value of x</u>

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

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