Question

Find the value of x AND Y.

Answer 1

Given:

Right triangle with base 9 and height x

θ = 61°

To find:

The value of x

Solution:

Base = Adjacent side = 9

Height = Opposite side = x

Using basic trigonometric ratio formula:

$\tan \theta =\frac{\text{Opposite side of} \ \theta}{\text{Adjacent side of} \ \theta}$

$\tan61^\circ =\frac{x}{9}$

The value of tan 61° = 1.8

$1.8=\frac{x}{9}$

Multiply by 9 on both sides.

$1.8\times 9 =\frac{x}{9}\times 9$

$16.2 =x$

The value of x is 16.2 units.