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harina [27]
3 years ago
11

a lamp post cast a Shadow 15 feet long while a 6 foot man standing nearby cast a shadow 5 ft long. what proportion can be used t

o determine the hight of the lamp post
Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Answer:

6/5=x/15

Step-by-step explanation:

6/5=x/15,where x is hight of the lamp post

x=18

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27

Step-by-step explanation:

The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.

5t - 13 = 3t + 3

2t - 13 = 3              (Subtract 3t from both sides)

2t = 16                   (Add 13 to both sides)

t = 8                      (Divide both sides by 2)

Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.

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So, the measure of angle X is 27

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