Question

A triangle ABC has two side lengths of 28 ft. and 24 ft. If angle C is 91°, what's the measurement of angle B

Answer 1

Answer:

Step-by-step explanation:

Given that in a triangle ABC,  AB = 28, BC = 24 and angle C =91,

We have to find measure of angle B.

Since three measurements are given, we can solve the triangle easily

Use the sine formula for triangles.

$\frac{c}{SinC} =\frac{b}{Sin B}=\frac{a}{Sin A}$

$A = arcsin(\frac{asinC}{c} )=58.98$

Since sum of 3 angles is 180, we calculate B easily

Angle B = 180-(A+C)

= 180-(91+58.98)

=30.02