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?
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.
To find the height of the building, we can use trigonometry. Let's assume the height of the building is ‘h’.
In a right triangle, the opposite side is the height of the building, the adjacent side is the distance from Ignacio to the building, and the angle of elevation is 35°.
Using the trigonometric function tangent (tan), we can set up the following equation:
tan(35°) = h / 100
Now, we can solve for 'h' by multiplying both sides by 100:
100 * tan(35°) = h
Using a calculator to compute tan(35°):
h ≈ 100 * 0.700
h ≈ 70
So, the height of the building is approximately 70 meters.