Question

use graph to answer question

Answer 1

Given:

A figure of a right angle triangle.

To find:

The length of BC.

Solution:

In a right angle triangle,

$\tan \theta =\dfrac{Perpendicular}{Base}$

In the given triangle,

$\tan A =\dfrac{BC}{AC}$

$\tan 23^\circ =\dfrac{BC}{6}$

$0.42447\times 6 =BC$

$2.54682 =BC$

Approximate the value to the nearest hundredth.

$BC\approx 2.55$

Therefore, the measure of side BC is 2.55 units.