Question

Find the requested unknown angle of the following triangles using a calculator

Answer 1

44.43°

Step-by-step explanation

We have a right triangle and we know the lengths of the hypotenuse and the opposite leg to the unknown angle, so we can use the sine of the angle to find it,

`\sin \theta=(7)/(10)`

Solving for θ,

`\theta=\sin ^(-1)\mleft((7)/(10)\mright)`

Now, using a calculator, we find that the angle is 44.43°, rounded to the nearest hundredth of an angle.