Question

PLEASE HELP :) LOTS OF POINTS + BRAINLY

Answer 1

Jackson's method to figure out the height of the mountain is from the

similar triangles formed by the light using the mirror.

Response:

• The height of the mountain is 50 feet 8 inches

Which methods can used to find the height of the mountain?

The given parameters are;

Distance of the mirror from Jackson = 5 feet

Distance of the mirror from the base of the mountain = 40 feet

Height of Jackson = 6'4'' tall

Required:

The approximate height of the mountain, h

Solution:

The triangles formed by the light from the top of the mountain which is

reflected to Jackson from the mirror, Jackson's height, the height of the

mountain, and their distances from the mirror, are similar triangles.

The ratio of corresponding sides of similar triangles are equal, therefore,

we have;

$\dfrac{Jackson's \ height}{Jackson's \ distance \ from \ the \ mirror } =\mathbf{ \dfrac{Height \ of \ the \ mountain}{Distance \ of \ the \ mountain \ from \ the \ mirror}}$

Which gives;

$\dfrac{6\frac{1}{3} \, ft.}{5 \, ft.} = \mathbf{ \dfrac{h}{40 \, ft.}}$

$h = 480 \, in. \times \dfrac{76 \, in.}{60 \, in.} = 608 \, in. = \mathbf{50 \frac{2}{3} \, ft. = 50 \, feet \ 8 \, inches}$

• The height of the mountain is approximately 50 feet 8 inches

Learn more about similar triangles here:

brainly.com/question/23467926