Question

Solve the triangle give the measure of y

Answer 1

Given:

In triangle $BGU,BG=x,GU=7,BU=y,m\angle U=90^\circ,m\angle B=44^\circ$.

To find:

The value of y.

Solution:

In a right angle triangle,

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

In triangle BGU,

$\tan B=\dfrac{GU}{BU}$

$\tan 44^\circ=\dfrac{7}{y}$

$0.966=\dfrac{7}{y}$

Isolating y, we get

$y=\dfrac{7}{0.966}$

$y=7.2463$

$y\approx 7.2$

Therefore, the correct option is A.