A right triangle has hypotenuse of length 58 feet with an angle labeled theta and an adjacent side labeled a. A hiker is standing on the ground looking up to the top of a tree with an angle of elevation of θ=53∘. The figure shown above represents the situation where the base of the triangle is the eye level of the hiker and the vertical side is the tree. Based on the dimensions shown in the figure, what is the distance a, in feet from the hiker to the base of the tree? Round to one decimal place.
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 right triangle has hypotenuse of length 58 feet with an angle labeled theta and an adjacent side labeled a.
A hiker is standing on the ground looking up to the top of a tree with an angle of elevation of θ=53∘. The figure shown above represents the situation where the base of the triangle is the eye level of the hiker and the vertical side is the tree. Based on the dimensions shown in the figure, what is the distance a, in feet from the hiker to the base of the tree? Round to one decimal place.
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