A ship is at a distance of 200m from the tall tower. What is the angle of depression of the ship found by a man if he climbed 50m up the tower
Answers
Step-by-step explanation:
the anwer is 14°
Check the picture.
The angle of depression is 76°
Given:
A ship is at a distance of 200m from the tall tower.
To find:
What is the angle of depression of the ship found by a man if he climbed 50m up the tower
Solution:
The distance between the boat and the foot of the tower is 200 m
The distance that the man climbed = 50 m
We can represent the whole scenario in right angle triangle [ as given in the picture below ]
From the right angle triangle,
=> Tan B = Opposite side/ Adjacent side = 50/200
=> Tan B = 1/4
=> Tan B = Tan 14.03° ≅ Tan 14°
=> Angle B = 14°
As we know
=> ∠A + ∠B + ∠C = 180° [ Sum of the angles in triangle ]
=> ∠A + 14° + 90° = 180°
=> ∠A = 180° - 104°
=> ∠A = 76°
Therefore,
The angle of depression is 76°
Learn more about the Angle of depression at
https://brainly.in/question/50007027
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