Question

A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches.

Answer 1

Answer:

The length of other leg of right angled triangle ABC is 14.4 in

Step-by-step explanation:

Given a right triangle that has 30° angle. The leg adjacent to 30° is 25 inches.

we have to find the length of the other leg.

In ΔABC, by trigonometric ratios

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

$\tan 30=\frac{AB}{BC}$

$\frac{1}{\sqrt3}=\frac{AB}{25}$

$AB=\frac{25}{\sqrt3}=14.433\sim 14.4 in$

Hence, the length of other leg of right angled triangle ABC is 14.4 in

Answer 2

Tan(30o)= ?/25
25 * tan(30o) = ?
? = 14.4