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zmey [24]
3 years ago
9

Please help! Points​ E, D, and H are the midpoints of the sides of ΔTUV. UV=48​, TV=62​, and HD=48. Find HE.

Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

The correct answer is 24.

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Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at
r-ruslan [8.4K]

Answer:

a) See figure attached

b) x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft

c) h = 35 sin (59) = 30.0 ft

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}

r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft

Then we can use the same law in order to find the valueof x liek this:

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x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

sin (59) = \frac{h}{35}

And if we solve for h we got:

h = 35 sin (59) = 30.0 ft

So then the heigth for the building is approximately 30 ft

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Step-by-step explanation:

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