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?
AAAaannndd the bot gets it wrong yet again!
76 / tan28° = 142.93
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.