A helicopter hovers at an altitude that is 1000 feet above a mountain peak at an altitude of 5,210 feet. A second taller peak is viewed from both the mountaintop and the helicopter. From the helicopter the angle of depression is 43° and from the mountaintop, the angle of elevation is 18°. a) Approximate the distance from peak to peak. b) Approximate the altitude of the taller peak.
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 helicopter hovers at an altitude that is 1000 feet above a mountain peak at an altitude of 5,210 feet. A second taller peak is viewed from both the mountaintop and the helicopter. From the helicopter the angle of depression is 43° and from the mountaintop, the angle of elevation is 18°.
a) Approximate the distance from peak to peak.
b) Approximate the altitude of the taller peak.
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