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Math help ?
Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be 58°, how far from the base of the tree am I?
Round your answer to four decimal places.
I am about _____ feet away from the base of the tree.
- lenpol7Lv 73 months ago
Use the Trig. function 'Tan(Tangent)
Tan(angle) = opposite (height) / adjacent(base)
Tan(58) = 370/base
Base = 370/Tan(58)
Base = 370/1.60033....
Base = 231.2 ft.
- PinkgreenLv 73 months ago
Let x ft be the distance, then
Ans. you are about 231.2017 ft from the base of the tree.
- ?Lv 73 months ago
Assuming that a 370-foot tall giant redwood grows vertically,
if I walk a certain distance from the tree
and measure the angle of elevation to the top of the tree to be 58°,
how far from the base of the tree am I?
If we would treat the height of the redwood tree perpendicular from the horizontal,
we can solve for the distance from the base
using trigonometric ratios of a right triangle.
Since we know that
tan (θ) = opposite / adjacent,
then tan (58°) = 370/x
x = 370/tan (58°)
x = 231.20166020645112
Therefore, you are approximately
231.2017 ft away from the base of the tree.
- JimLv 73 months ago
You have the opposite and want adjacent, so use Tan
Tan 58 = Height/distance
Distance = height/tan 58 = 370/tan 58
About 230 feet, you should do the actual calc...
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