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A 25 ft ladder leans against a building. The ladder’s base is 13.5 feet from the building. Find the angle of elevation, which the ladder makes with the ground.

Sagot :

mroracle

Answer:

57.3°

Step-by-step explanation:

A 25 feet ladder leans against a building.

The ladder's base is 13.5 feet from the building.

The ladder, the wall of the building and the ground form a right-angled triangle of:

Hypotenuse = 25 feet

Base = 13.5 feet

We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)

Let's say the angle = X°

According to a trigonometric equation;

cos X° = adjacent side ÷ hypotenuse = [tex]\frac{13.5}{25}[/tex] = 0.54

[tex]cos ^{-1} X[/tex] = 57.5=3° (Answer rounded up to nearest one decimal place).

∴ The angle of elevation = 57.3°

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