Answer:
The length of wooden board = 9.4648 feet.
Step-by-step explanation:
The wooden board makes a Right triangle with the building in which we have wooden board as hypotenuse, building as opposite side, and ground as adjacent side, the angle of elevation is 65 degrees.
Given adjacent side = 4 feet and elevation angle = 65 degrees.
We can use cosine formula in right triangle as follows:-
Cos(65°) = Adjacent / Hypotenuse
cos(65°) = 4 / Hypotenuse
Hypotenuse = 4 / cos(65°)
Hypotenuse = 9.464806333 feet.
Hence, the length of wooden board = 9.4648 feet.
