Question

Question 5 5:
A man wants to determine the height of a light house. He measured the angle at A
and found that tan A = 3/4. What is the height of the light house if A is 40 m from the
base ?
5​

Answer 1

I hope 30 is the answer

Answer 2

Answer....

Here BC represents height of the light house, AB represents the distance between the light house from the point of observation.

In the right triangle ABC the side which is opposite to the angle A is known as opposite side (BC), the side which is opposite to 90 degree is called hypotenuse side (AC) and remaining side is called adjacent side (AB).

Now we need to find the height of the light house (BC).

tanA = Opposite side/Adjacent side

tanA = BC/AB

Given : tanA = 3/4

3/4 = BC/40

3 x 40 = BC x 4

BC = (3 x 40)/4

BC = (3 x 10)

BC = 30 m

So, the height of the light house is 30 m.

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