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,

$tan\theta = \frac{Perpendicular}{Base}$

Now,

Putting the values of perpendicular and base we get,

$tan\theta = \frac{10}{8}$

or, $\theta = tan^{-1} (\frac{10}{8})$

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°.