To find the measure of the angle of elevation, we can use trigonometry. In this case, we are looking for the angle opposite the side adjacent to it.
Let's denote the angle of elevation as θ. The side adjacent to θ is 7 feet (the distance from the building to the foot of the ladder) and the side opposite to θ is 18 feet (the height of the point reached by the ladder on the building).
Using the tangent function:
tan(θ) = opposite/adjacent
tan(θ) = 18/7
θ ≈ arctan(18/7)
θ ≈ 68.7 degrees
Therefore, the measure of the angle of elevation from the ground to the top of the ladder is approximately 68.7 degrees. So, the answer is:
68.7 degrees
A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.
A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.
68.7degrees
77.4 degrees
15.9 degrees
21.3 degrees
1 answer