Question

What is the length of AB? Round to the nearest tenth.

Answer 1

38.6 is the answer your looking for

Answer 2

Answer: 38.6 m

Explanation:

In the given picture there is a right triangle ABC with hypotenuse AB as 'x' meters.

By trigonometry in right triangle ABC we have ,

`\cos 75^(\circ)=\frac{\text{Side adjacent to }75^(\circ)}{\text{Hypotenuse}}\\\\\Rightarrow0.2588190451=(10)/(x)\\\\\Rightarrow\ x=(10)/(0.2588190451)\\\\\Rightarrow\ x=38.6370330519\approx38.6\ m`

Hence, the length of AB = 38.6 m