From a point on a lighthouse 76m above sea level, the angle of depression of a fishing boat is 28 degrees. How far is the boat from the foot of the lighthouse?

Answer 1

We can use tangent function to solve this problem.

Let x be the distance between the foot of the lighthouse and the fishing boat.

Then, tan 28 = 76/x

Multiplying both sides by x, we get:

x * tan 28 = 76

Dividing both sides by tan 28, we get:

x = 76 / tan 28

Using a calculator, we get:

x ≈ 145.7

Therefore, the fishing boat is about 145.7 meters away from the foot of the lighthouse.

Answer 2

AAAaannndd the bot gets it wrong yet again!

76 / tan28° = 142.93