Question

A boat is moored at a dock, as shown in the figure.

What is the length of rope A?

Enter your answer in the box. Round only your final answer to the nearest tenth.

___ ft

Answer 1

Hello! The correct answer is 12.3 ft.

Explanation:

I am just confirming!

Answer 2

Answer: 12.3 ft.

Explanation:

In the given picture we can see there is a right triangle with hypotenuse 15 ft.

Using trigonometry in the given right triangle, we have

`\cos35^(\circ)=\frac{\text{Side adjacent to}\ 35^(\circ)}{\text{Hypotenuse}}\\\\\Rightarrow\ 0.81915204428=(A)/(15)\\\\\Rightarrow\ A=0.81915204428*15\\\\\Rightarrow\ A=12.2872806642\approx12.3\ ft.`

Hence, the length of rope A = 12.3 ft.