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A building cast a shadow 23 feet long when the angle of the sun is 52 degree. Find the height of the building to the nearest integer.
Let X be the height of the building
Tan 52 degree =x/23
23 tan 56 =294feet
x = 23 tan 52 = 29.4 feet
You made a decimal point error. I also don't thnk you meant to type tan 56
To find the height of the building, we can use trigonometry and the given information about the shadow and angle of the sun.
We know that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side in a right triangle. In this case, the opposite side is the height of the building (X) and the adjacent side is the length of the shadow (23 feet). So we have:
tan(52 degrees) = X/23
To solve for X, we can rearrange the equation:
X = 23 * tan(52 degrees)
Calculating this using a calculator, we find that X is approximately 29.4 feet.
Therefore, the height of the building is approximately 29.4 feet, rounded to the nearest integer, which is 29 feet.