SOLUTION: Virginia's phone has a range of 1000 ft. Her apartment is 180 ft high (where the base of the phone is located). She must go down and walk on a sidewalk that is 600 ft and turn lef

Question 248264: Virginia's phone has a range of 1000 ft. Her apartment is 180 ft high (where the base of the phone is located). She must go down and walk on a sidewalk that is 600 ft and turn left and walk 400ft to reach the community pool. Will Virginia be able to use her phone at the pool?
(This one was hard to describe because it had a picture showing the directions she is going and how many feet. The last question I answered from this section used the pythagorean equation to figure the answer but in the figure for this question it was not shaped like a triangle... so I do not know what to do?)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Virginia's phone has a range of 1000 ft. Her apartment is 180 ft high (where the base of the phone is located). She must go down and walk on a sidewalk that is 600 ft and turn left and walk 400ft to reach the community pool. Will Virginia be able to use her phone at the pool?
(This one was hard to describe because it had a picture showing the directions she is going and how many feet. The last question I answered from this section used the pythagorean equation to figure the answer but in the figure for this question it was not shaped like a triangle... so I do not know what to do?)
Her building is on the west, the picture shows and arrow going down her building 180ft then it starts going east 600 ft and the another arrow is pointing north at 400ft.
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You have a ground-level right triangle with legs of 400 and 600 feet.
Find the ground-level diameter to the base of Virginia's building.
d = sqrt(400^2+600^2)
d = 721.11 ft
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Now you have a right triangle whose height is 180 ft and ground-level
leg is 721.11 ft.
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Find the diagonal line from the pool to the phone.
D^2 = 180^2 + 721.11^2
D = 743.24 ft.
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Cheers,
Stan H.

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