Question

you are given your distance from the lighthouse and the angle of elevation. find the height of the lighthouse.

Answer 1

Answer: 174.7 ft

Step-by-step explanation:

In this case, h = sin(59) * hypotenuse (have you learned about SOHCAHTOA ?)

But we don't know the hypotenuse. So we need to find it.

105 = cos(59) * hypotenuse (SOHCAHTOA again)

hypotenuse = 105 / cos(59) = 203.8 ft approximately

And then h = sin(59) * 203.8 = 174.7 ft approximately

Answer 2

I assume you are learning about right triangle trig.

In this case, h = sin(59) * hypotenuse (have you learned about SOHCAHTOA ?)

But we don't know the hypotenuse. So we need to find it.

105 = cos(59) * hypotenuse (SOHCAHTOA again)

hypotenuse = 105 / cos(59) = 203.8 ft approximately

And then h = sin(59) * 203.8 = 174.7 ft approximately