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

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)=(x)/(13)`

`\:x\:=\:13\:* tan\:32^(\circ )\:`

x = 8.1 units tan 32° = 0.62

Therefore, the value of x = 8.1 units