Solution of problem: An electric post was broken by a strong typhoon .it rmed a right triangle with the ground.If a broken part makes an angle of 25 degrees with other part and the topmost part of the post which on the ground is 40 feet from the base ,how tall was the post?

A = 90-25 = 65o.

tanA = Y/X.
Y = X*tanA = 40*tan65 = 85.8 Ft.

Z = X/cosA = 40/cos65 = 94.6 Ft. = hyp.

h = Y + Z = 85.8 + 94.6 = 180.4 Ft. = Ht. of post.

math

To solve this problem, we can use trigonometry and basic geometry.

Let's denote the height of the post as "h". We can form a right triangle with the ground by considering the height of the post, the distance from the topmost part to the base, and the broken part of the post.

Now, let's break down the information given in the problem:

1. The broken part of the post makes an angle of 25 degrees with the other part. Let's call this angle "A".

2. The topmost part of the post is 40 feet from the base, forming the base of the right triangle.

Now, we can use trigonometry to find the height of the post.

In a right triangle, we have three trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). Since we have the opposite side (height) and the adjacent side (base), we can use the tangent function:

tan(A) = opposite/adjacent
tan(25°) = h/40

We can isolate "h" by multiplying both sides of the equation by 40:

40 * tan(25°) = h

Now, let's calculate the value of h using a calculator:

h ≈ 16.73 feet

Therefore, the height of the post is approximately 16.73 feet.