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 th
1 answer:
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 = = 0.54
= 57.5=3° (Answer rounded up to nearest one decimal place).
∴ The angle of elevation = 57.3°
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