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Soloha48 [4]
3 years ago
11

Find MI if MB = x+9 and IB = 2x–7

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Answer:

MI = -x+16

Step-by-step explanation:

MI + IB = MB

MI + 2x-7 = x+9

Subtract 2x from each side

MI + 2x-7 -2x = x+9-2x

MI -7 = -x+9

Add 7 to  each side

MI -7+7 = -x+9+7

MI = -x+16

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The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b
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Answer:

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Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

H' = H-h = 452-1.75=450.25 m

Now we notice that d and H' are the two sides of a right triangle, in which the angle of elevation is \theta. Therefore, we can write the following relationship:

tan \theta = \frac{H'}{d}

since

H' represents the side of the triangle opposite to \theta

d represents the side of the triangle adjacent to \theta

Solving the equation for \theta, we find the angle of elevation:

\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}

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