Help with math question?

Question

A person 5-ft tall casts a shadow 3-ft long. At the same time, a nearby tree casts a shadow 38-ft long. Find the height of the tree.

Answer: The tree's height is_____ ft long. (Round to the nearest tenth.)

Answer 1

Let angle of elevation of tree and person be θ and let height of tree be h ft.
tan θ = h / 38
tan θ = 5 / 3

h / 38 = 5 / 3
h = (5 x 38) / 3
h = 63.3

The height of the tree is 68.3 ft

Answer 2

The tree's height is 63.3 ft long.

The proportion 5/3 = x/38 can be solved to get;
5*38 = 3*x, so x = 190/3=63 1/3 or 63.333333333333333

Answer 3

The ratio of the height to the shadow will be the same, so

5/3 = x/38

x = 38*5/3 = 63.333333

Answer 4

This question deals with a geometry topic called SIMILAR TRIANGLES.

Set up and proportion and solve for x.

Let x = height of the tree.

Person 5 feet/x = 3 feet shadow/38 feet shadow

We now cross-multiply:

3 times x = 3x

5 times 38 = 190

3x = 190

Divide both sides by 3 to find x.

x = 190/3

x is about 63.30 feet

The tree is about 63.30 feet.

Answer 5

38 X 5/3 (Five-Thirds)=63.333333.....

The tree's height is 63.3 ft long (when rounded)

You get the 5/3 because that is the ratio between the person's height and his shadow.

Answer 6

5 x 38 divided by 3 rounded to the nearest tenth. 63.3

Answer 7

The easiest way is to do this by using proportions as these are similar triangles if you draw the picture out. The shadow of the tree is (38ft/3ft) times as tall as the shadow of the girl; therefore, the tree must be (38ft/3ft) times as tall as the girl.

Answer 8

length......... Shadow
5 ................... 3
x .................. 38

x = 5 * 38 / 3
x = 190 / 3
x = 63 . 333333

height of the tree ≈ 63.3 ft

Answer 9

Height/Shadow
5/3 = x/34

To find x, multiply both sides by 34...

Or you can wait for somebody to do it for you.

Answer 10

5/3=x/38
38x5/3=x
x=63.3