Question

Given the following right triangle, what is the measure of angle B?

Answer 1

Answer:

A. 55 degrees

Step-by-step explanation:

We are given a right angled triangle ABC having the horizontal length = 10 units and vertical length = 7 units.

Now, the trigonometric form for angles of a right angled triangle gives,

$\tan B=\frac{opposite}{adjacent}$

i.e. $\tan B=\frac{10}{7}$

i.e. $\tan B=1.42857$

i.e. $B=\arctan 1.42857$

i.e. $B=55.03$

Hence, the measure of angle B is 55°