Question

trigonometry please help! work need to be shown please

Answer 1

Given:

A figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

$\tan \theta=\dfrac{Opposite}{Adjacent}$

In the given triangle,

$\tan 62^\circ=\dfrac{x}{35}$

$1.8807=\dfrac{x}{35}$

$1.88073\times 35=x$

$65.82555=x$

Approx the value to the nearest hundredth (two decimal place).

$x\approx 65.83$

Therefore, the value of x is 65.83 units.