Answer: B. 305.1 ft.
Explanation:
We are given the height of the bridge (175) and the angle of depression (35 degrees). We are looking for the distance from the top of the bridge to the boat. This can be represented as the hypotenuse of a right triangle because it is the diagonal distance from the top to the boat down below. We can use the function sine (since sine is used when you divide opposite/hypotenuse, and the opposite side from the angle of depression would be the height of the triangle) to set up a proportion:
Then, you cross-multiply:
Finally, you divide each side by sin(35):
After rounding to the nearest tenth, the final answer comes out to be B. 305.1.
I hope this helps!