Question

Consider the right triangle given below. The length of side b to two decimal places is ____ pic attached

Answer 1

Using the sine rule, below is the solution to the problem given above:

Sine rule
A = 90 - 25 = 65
a/sin 65 = 25/sin 90 = 25
a = 25 sin 65
= 22.66

The answer is 22.66. I hope this helps.

Answer 2

`b=22.66\ units`

Explanation:

we know that

In the right triangle ABC

`sin(65\°)=(AC)/(AB)`

in this problem we have

`AB=25\ units`

`AC=b\ units`

substitute and solve for b

`sin(65\°)=(b)/(25)`

`b=25*sin(65\°)=22.66\ units`