Question

Find the indicated side of the triangle

Answer 1

The indicated side of the triangle is 14

Explanation:

Given

A Right angled triangle with angle of 30°

Let the angle be represented by θ

i.e. θ = 30°

The side facing/opposite θ is referred to as opposite.

Let Opp represent opposite

Opp = 7

The hypothenus of the triangle is represented by a

To calculate length a, we make use of the relationship between θ and the sides of the triangle.

Provided that the length of the opposite side of the triangle is known and the missing length is the hypothenus, we can make use of sin(θ) to solve this.

Sin(θ) is calculated by Opposite ÷ Hypothenus

i.e.

Sin(θ) = Opposite/Hypothenus

Substitute known values

Sin(30) =7/a

Make a the subject of formula

a * sin(30) =7

a = 7/sin(30)

sin(30) = ½

So, a = 7/½

a = 7 * 2

a = 14

Hence, the indicated side of the triangle is 14

Answer 2

The measurement of the given angle is 30 degree.

Here we use trigonometric ratio rule which is sin theta= opposite/hypotenuse

Here theta = 30 degree, opposite =7 and hypotenuse =a

So we get

sin 30 = 7/a

a= 7/sin 30

And value of sin 30 = 0.5

So we get , a = 7/0.5 = 14

So the value of a is 14 .