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Nitella [24]
3 years ago
15

During the construction of a road a mountain of 250 metres in height, through it will be the construction of a tunnel. The top o

f the mountain is seen at an angle of 48°30' from a point P at one end of the mountain, and at an angle of 38° from the other end. How long will this tunnel be?

Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:

542.74 m

Step-by-step explanation:

Tan(48.3) = 250/a Multiply by a

a*tan(48.3) = 250 Divide by tan(48.3)

a = 250/Tan(48.3)

a =222.74

By a similar method b = 250/tan(38)

b = 319.99'

The total length =542.73 meters

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Answer:

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Step-by-step explanation:

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