from a distance of 50 feet from the base building, the angle of elevation to the top of the building is 68 degrees. estimate the height of the building to the nearest foot.
a.124
b.20
c.19
d.46
i think its d?
tan 68 = h/50
To estimate the height of the building, you can use trigonometry and the concept of right triangles. The given information tells us that we have a right triangle with one side measuring 50 feet and an angle of elevation of 68 degrees.
We can use the tangent function to find the height of the building. The tangent of an angle is defined as the ratio of the length of the opposite side (height of the building) to the length of the adjacent side (distance from the base to the building).
tan(angle) = height / distance
Rearranging the formula, we get:
height = tan(angle) * distance
Plugging in the values we have:
height = tan(68 degrees) * 50 feet
Using a calculator, we find that the tangent of 68 degrees is approximately 2.74747741945. Multiplying this by 50 feet, we get:
height ≈ 2.74747741945 * 50 feet ≈ 137.374870973 feet
Therefore, the estimated height of the building is approximately 137 feet. None of the answer choices provided match this estimation, so it seems none of the options given is correct.