A surveyor wishes to measure the width of a trench. He places a transit telescope in a position on one side of the trench that is 18 feet higher than the second location. The surveyor reads the angle of depression from the transit telescope and finds that it is 31°, as shown in the diagram below. If the transit telescope is 4.5 feet above the ground at the first location during this reading, how wide is the trench? Include all relevant calculations and use the correct units for all measures.
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 surveyor wishes to measure the width of a trench. He places a transit telescope in a position on one side of the trench that is 18 feet higher than the second location. The surveyor reads the
If the transit telescope is 4.5 feet above the ground at the first location during this reading, how wide is the trench?
Include all relevant calculations and use the correct units for all measures.
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