Question
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
Answers
GPT 3.5
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.
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.