Question

Find the value of x and round to the nearest tenth, im good with all other trigonometry

Answer 1

Given:

Right triangle with base 12 cm and height is x.

θ = 35°

To find:

The value of x.

Solution:

Base = Adjacent side = 12 cm

Height = Opposite side = x

Using basic trigonometric ratio formula:

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

`$\tan35^\circ =(x)/(12)`

The value of tan 35° = 0.7

`$0.7=(x)/(12)`

Multiply by 12 on both sides.

`$0.7* 12 =(x)/(12)* 12`

`$8.4 =x`

The value of x is 8.4 cm.