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emmasim [6.3K]
3 years ago
15

Find X. Round to the nearest tenth.

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

21.4 degrees =x

Step-by-step explanation:

We can use the law of sines to solve this problem

sin A            Sin B

------------ = ----------

a                  b

where A is the angle and a is the opposite side

sin 42           Sin x

------------ = ----------

22                  12

Using cross products

12 sin 42 = 22 sin x

Divide by 22

12/22 sin 42 = 22/22 sin x

12/22 sin 42 =  sin x

Take the arcsin of each side

arcsin (12/22 sin 42) = arcsin( sin x)

arcsin (12/22 sin 42) =  x

21.40637223=x

Rounding to the nearest tenth

21.4 degrees =x

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Answer:

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Step-by-step explanation:

This is the complete question;

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.

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solution;

In this question, we have a student who journeyed by walking and also by using a bus, we are asked to calculate the number of kilometers traveled using both means.

We proceed as follows;

Firstly, let’s represent the number of kilometers he walked by x and the number of kilometers he traveled on the bus by y.

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x + y = 35 ••••••••••(i)

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Total time = total distance/total time

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