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PilotLPTM [1.2K]
2 years ago
5

A cyclist rides his bike at a rate of

Mathematics
1 answer:
docker41 [41]2 years ago
8 0
15 miles per hour right so anyways that will be split by the number of minutes per hour so first there are 60 mins in an hour so its 15 divided by 60 which is 0.25 next how many miles will the cyclist travel in 15 minutes so that would mean taking the answer from the above and multiply it by 15 since you need 15 min which is 3.75 miles in 15 min hope i helped rate brainiest so i can reach next lvl! :)
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For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

\frac{LB}{CL}= \frac{AB}{AC}

The above equation can be rearranged as:

LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}...(Equation 1)

If we have a proper look at the denominator which is \frac{AC}{AB}, we note that in \Delta ABC, \frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)

Thus, (Equation 1) wil give us:

LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12

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