2. The sun casts a shadow that is proportional to the object's height. The heigh...

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2. The sun casts a shadow that is proportional to the object's height. The height of a pole is unknown. Its
shadow is 7ft. the height of a nearby tree is 8 ft. Its shadow is 28 ft find the height of the pole.

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$\large\underline \mathcal{{QUESTION:}}$

2. The sun casts a shadow that is proportional to the object's height. The height of a pole is unknown. Its shadow is 7ft. the height of a nearby tree is 8 ft. Its shadow is 28 ft find the height of the pole.

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Let x be the height of the pole

$\sf{\frac{Height_{pole}}{Shadow_{pole}}=\frac{Height_{tree}}{Shadow_{tree}}}$

$\sf{\frac{x}{7}=\frac{8}{28}}$

$\sf{28(x)=7(8)}$

$\sf{28x=56}$

$\sf{\frac{28x}{28}=\frac{56}{28}}$

$\sf{x=2}$

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The height of the pole is 2 ft

christy34 Exercises 2
Using the same figure above give the measurement of following:
1. y =
Hint:
2 side CB =
Separate the two triangles to solve the
3 x=
following easily.
4. side AB =

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