Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 months ago

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?

I am about _____    feet away from the base of the tree.

Relevance
• 3 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.

• 3 months ago

Let x ft be the distance, then

370/x=tan(58*)

=>

x=370/tan(58*)

=>

x=231.2016602~231.2017.

Ans. you are about 231.2017 ft from the base of the tree.

• ?
Lv 7
3 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.

• Jim
Lv 7
3 months ago

SOHCAHTOA

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...