Question
Ignacio is 100 m from a building and can view its top under an angle of elevation of 35°. What is the height of the building?
Answers
GPT 3.5
To solve this problem, we can use trigonometry.
Let the height of the building be denoted by h.
We have a right triangle formed by Ignacio's line of sight, the height of the building, and the distance from Ignacio to the building.
Using the trigonometric function tangent, we can write the following equation:
tan(35°) = h/100
Rearranging the equation to solve for h, we have:
h = tan(35°) * 100
Calculating this value, we find:
h ≈ 74.68
Therefore, the height of the building is approximately 74.68 meters.
Let the height of the building be denoted by h.
We have a right triangle formed by Ignacio's line of sight, the height of the building, and the distance from Ignacio to the building.
Using the trigonometric function tangent, we can write the following equation:
tan(35°) = h/100
Rearranging the equation to solve for h, we have:
h = tan(35°) * 100
Calculating this value, we find:
h ≈ 74.68
Therefore, the height of the building is approximately 74.68 meters.