Question

Round to the nearest tenth

Answer 1

Note: I am assuming we have to determine the value of the side 'x'.

Answer:

The value of x = 8.1 units

Step-by-step explanation:

Note: I am assuming we have to determine the value of the side 'x'.

Given

Angle Ф = 32°

To determine:

x = ?

Using the trigonometric ratio

tan Ф = opposite / adjacent

here

Ф = 32°

opposite to angle 32°  = x

adjacent to angle 32° = 13

Therefore,

substituting adjacent = 13, Ф = 32°, opposite = x in the equation

tan Ф = opposite / adjacent

$\tan \left(32^{\circ \:}\right)=\frac{x}{13}$

$\:x\:=\:13\:\times tan\:32^{\circ }\:$

x = 8.1 units      tan 32° = 0.62

Therefore, the value of x = 8.1 units