Question

The students in Mr. Collin's class used a surveyor's measuring device to find the angle from their location the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance. To the nearest foot, find the height of the building. Building 100 2400 ft b. 72 ft 308 ft 33 ft D

Answer 1

The height of the building is 308 ft

here, we want to get the height of the building

From what we have, the angle given faces the building which makes the building the opposite

The length given does not face the angle nor the right-angle and that makes it the adjacent

The relationship between the opposite and the adjacent is the tan

In fact, tan is the ratio of the opposite to the adjacent

Let us call the height of the buliding h

Thus, we have it that;

`\begin{gathered} \tan \text{ 72 = }(h)/(100) \\ h\text{ = 100}*\tan \text{ 72} \\ h\text{ = 307.76} \\ h\text{ = 308 ft} \end{gathered}`