Mathematics: If you travel 75 miles in 1 1/2 hours, which of the following distance would you travel if you drove 5 hours

If you travel 75 miles in 1 1/2 hours, which - id751124801299, haileeattaway

jenny3661

03.12.2022

The value of a is 7.4833. The value of A=29.9262^0 and B=60.0735^0 .

Step-by-step explanation:

Consider the provided information.

The required figure is shown below:

We need to find the value of a.

Calculate the value of a by using Pythagorean theorem.

a^2+b^2=c^2

a^2+(13)^2=(15)^2

a^2=225-169

a^2=56

a=7.4833

Hence, the value of a is 7.4833.

Now find the value of angle A as shown:

$\sin A=\frac{a}{c}$

$\sin A=\frac{7.4833}{15}$

$A=sin^{-1}(0.4989)$

A=29.9262^0

Find the value of angle B as shown:

$\sin B=\frac{b}{c}$

$\sin B=\frac{13}{15}$

$B=sin^{-1}(0.8667)$

B=60.0735^0

Hence, the value of A=29.9262^0 and B=60.0735^0 .

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