Question

Find the value of y in the given triangle

Answer 1

Given:

In the given triangle,

With respect to y, Perpendicular = 10 cm and Base = 8 cm

To find the value of y.

Formula

By Trigonometric Ratio we get,

`tan\theta = (Perpendicular)/(Base)`

Now,

Putting the values of perpendicular and base we get,

`tan\theta = (10)/(8)`

or,
`\theta = tan^(-1) ((10)/(8))`

or,
`\theta = 51.34 ^\circ`

Rounding off to the nearest tenth, we have;

`\theta = 51.3 ^\circ`

Hence,

The value of y is 51.3°.