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Mathematics 10 Online
Laramie12:

Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario. Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.

Gdeinward:

what are your ideas?

Laramie12:

I don't know

Gdeinward:

welll, you could apply it in a problem where you need to determine the height of a building using you distance from it and the length of the shadow

hellodarlings:

From a lamp post four feet away from her, Sandra looks up at a in the sky. Diagonally, that bird is five feet away from her above the lamppost. How high up is the bird.

Gdeinward:

just think of any problem where you know two sides of a triangle and need to find the third

Laramie12:

The light from a lamp casts a shadow of a man standing 10 feet away from the lamppost. The shadow is 7 feet long. The angle of elevation from the tip of the shadow to the lamp is 50. To the nearest foot, the lamppost is _____ feet tall.

Laramie12:

can I do this one instead

Gdeinward:

that one works great

Laramie12:

20.26 ft is the height of the lamppost

Laramie12:

would that one work

hellodarlings:

that's the answer

Laramie12:

I think that is the answer.

Laramie12:

would that work for part 1

Gdeinward:

how did you solve it?

Laramie12:

In the figure attached. AB is the lamp post and DE is a man standing 10 ft away from the lamp post.Therefore, in ΔABC,term 50° = AB/BC term 50° = AB/17 .192 = AB = 17 × 1.192= 20.26 ft.Therefore, Lamppost is 20.26 ft. tall.

Gdeinward:

well if his shadow is 7 feet long an hes 10 feet away, wouldnt that make the distance between his shadow and the light post 3 feet?

Laramie12:

I don't know

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