A vertical extension is to be constructed on top of a building situated on level ground. The angle of elevation of the top of the extension from a point P on level ground is 35 degrees, and the angle of elevation of the bottom of the extension is 33 degrees. The angle of elevation of the top of the extension from a point Q which is 60 m closer to the building is 40 degrees. Calculate to one decimal place: The distance P from the base of the building. The height of the building. The height of the extension
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
A vertical extension is to be constructed on top of a building situated on level ground. The angle of elevation of the top of the extension from a point P on level ground is 35 degrees, and the angle of elevation of the bottom of the extension is 33 degrees. The angle of elevation of the top of the extension from a point Q which is 60 m closer to the building is 40 degrees. Calculate to one decimal place:
- The distance P from the base of the building.
- The height of the building.
- The height of the extension.
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