Question

Give triangle TRY, find TY. Round your answer to the nearest hundredth.

Answer 1

The length of TY is 2.26.

Solution:

In ΔTRY, θ = 37°, Adjacent side = 3.

To find the length of TY.

Using trigonometry identity,

$\tan\theta=\frac{{opposite}}{{Adjacent}}$

$\tan37^\circ=\frac{{TY}}{3}$

$3\tan37^\circ=TY$

$3\times 0.75355=TY$

$TY=2.26065$

TY = 2.26

Hence the length of TY is 2.26.