Question

In △ABC, AB = 7 and AC = 17. Find m∠B to the nearest degree
68
38
21
87

Answer 1

The m∠B is 68°

Explanation:

Given the right angled triangle ABC in which right angled is at A.

AB = 7 units and AC = 17 units

we have to find the measure of ∠B.

By trigonometric ratios,

`cot \angle B=(AB)/(AC)`

`cot \angle=(7)/(17)`

`\angle B=cot^(-1)((7)/(17))`

`\angle B=67.619864948\sim 68^(\circ)`

Hence, the m∠B is 68°

Option 1 is correct