Question

Find the height of the triangle.

Answer 1

Height of the triangle is 3.42.

Explanation:

We have given a right angle triangle.

In the figure, hypotenuse = 10 , angle= ∅ = 20°

We have to find height of the triangle.

We have to find the height of triangle, in the figure it is represented by x.

As it is right angle triangle we use the following formula to find the value of x.

sin ∅= hypotenuse / height

sin ∅ = 10/x

sin 20= 10/x

x = 10 × sin 20

x = 10× 0.342

x = 3.42

height of the triangle is 3.42.

Answer 2

The value of x = 3.42

Explanation:

Formula:

Sin ∅ = Opposite side /Hypotenuse

From the figure we can see a right angled triangle.

One angle is given, hypotenuse = 10 and height = x.

To find the value of x

sin 20 = Opposite side/hypotenuse = x/10

x = 10 * sin 20

= 10 * 0.342 = 3.42

Therefore the value of x = 3.42