Question

Find the value of x in the given

right triangle.
10
37°
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter

Answer 1

x = 6.0

Explanation:

As the given triangle is a right-angled triangle, we can use the trigonometric ratios to find the required length.

In the given triangle

Hypotenuse = 10

Perpendicular = x

Angle = 37°

As we know the value for perpendicular and hypotenuse, sine will be used.

`sin\ 37 = (Perpendicular)/(Hypotenuse)\\sin\ 37 = (x)/(10)\\0.6018 = (x)/(10)\\x = 0.6018*10\\x = 6.018`

Rounding off to nearest tenth

x = 6.0

Hence,

x = 6.0