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shtirl [24]
3 years ago
8

Find the value of y.

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

y=16

Step-by-step explanation:

The triangle shown is a 30-60-90 triangle. In a 30-60-90 triangle, the shortest leg equals x, the hypotenuse equals 2x, and the longest leg equals x\sqrt{3}.

We are given that the shortest leg equals 8, and we are solving for the hypotenuse length. If we apply the relationship that the hypotenuse is twice the length of the shortest leg, we get:

y=2x

y=2(8)

y=16

Hope this helps!

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A train is going on a journey. First it travels east for 50 kilometers. Then it turns north and travels for 22
Igoryamba

The train travel 20 kilometers in the southward direction to reach its original location.

Step-by-step explanation:

          The given is,

                First train travels east for 50 kilometers, then

                Turns north and travels for 22 kilometers

                 It goes west for 50 kilometers

Step:1

       Let, A - Distance of train travels from its starting point in Eastern direction at pq point

              B - Distance train travels in northward direction at qr point

              C - Distance of train travels in western direction at rs point

              D - Distance of train travels in southward direction to reach its starting location at sp point

Step:2

           Refer the attachment,

           Distance of travel in northward direction and distance of travel in southward direction are equal.

           qr = sp.............. (1)                           ( ∵ Eqn (1) from the Diagram)

           20 km = 20 km

          sp = 20 km

Result:

       So, the distance of train travel to reach its original location in southward direction is 20 km.

           

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