Question

A pole subtends an angle of 60° at a point on the same level as the foot of the pole. From a second point 20m above the first point, the angle of depression of the foot of the pole is 30°. Find the height of the pole.

A) 20√3 meters
B) 40 meters
C) 30 meters
D) 10√3 meters

Answer 1

To find the height of the pole, we can use trigonometry. Using the tangent ratio and the information provided, we find that the height of the pole is 20√3 meters.

Step-by-step explanation:

To find the height of the pole, we can use trigonometry. Let's call the height of the pole as 'h'.

From the information given, we can form a right triangle. The angle at the top of the right triangle is 60° and the angle of depression at the second point is 30°.

We can use the tangent ratio to solve for 'h'. Tan(60°) = h / x, where x is the distance from the second point to the foot of the pole. Using this equation and the fact that tan(60°) = √3, we can find the expression h = x√3. Since x = 20m, the height of the pole is 20√3 meters.