From the top of a cliff of 200m high, Dele observes that the angle of depression of a boat at sea is 35° . Find the distance between the boat and the foot of the cliff

Answer 1

Let's call the distance between the boat and the foot of the cliff x.

Now, we have a right triangle where the height of the cliff is 200m, the angle of depression is 35°, and the distance between the boat and the foot of the cliff is x.

Using trigonometry, we can use the tangent function to find x:

tan(35°) = 200 / x

Now, we can solve for x:

x = 200 / tan(35°)
x ≈ 200 / 0.7002
x ≈ 285.6

Therefore, the distance between the boat and the foot of the cliff is approximately 285.6 meters.