A bird watcher is gazing at tree canopies in California’s redwood forests. The bird watcher spots their bird of interest up at the top of a 100-foot tree. They are observing the bird through a pair of binoculars that are 6 feet from the ground. At this moment in time, the angle of elevation from the bird watchers’ eye to the bird is 65 degree. Round to one decimal place. a.) Determine the straight-line distance from the person to the bird. Assume that the binoculars are of negligible length. b.) How far is the bird watcher from the tree? c.) The bird now moves to a lower tree branch that is 60 feet from the ground. Assuming the bird watcher does not move, what is the new angle of elevation from the bird watcher’s eye to the bird?
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 bird watcher is gazing at tree canopies in California’s redwood forests. The bird watcher spots their bird of interest up at the top of a 100-foot tree. They are observing the bird through a pair of binoculars that are 6 feet
from the ground. At this moment in time, the angle of elevation from the bird watchers’ eye to the bird is 65 degree. Round to one decimal place.
a.) Determine the straight-line distance from the person to the bird. Assume that the binoculars are of negligible length.
b.) How far is the bird watcher from the tree?
c.) The bird now moves to a lower tree branch that is 60 feet from the ground. Assuming the bird watcher does not move, what is the new angle of elevation from the bird watcher’s eye to the bird?
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