Question

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

Answer 1

A. 55 degrees

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=(opposite)/(adjacent)`

i.e.
`\tan B=(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°