Answer:
43.92
Step-by-step explanation:
First you need the measure of angle C
180 - 90 - 37 = 53 degrees
Then use the Law of Sines with the pair you know:
sin 90 / 55 = sin 53 / x
Solve the equation
x * sin 90 / 55 = sin 53
x * sin 90 = 55 * sin 53
x = 55 * sin 53/sin 90
x = 43.92
If C is between A and B, then, we can write the equation

Substitute the value of AB and the expressions for AC and CB in terms of x.

We can now solve for x.


Dividing by 5.








Answer: 5 5/8
Reasoning:
Find the similar denominator between the two fractions, in this case it’s 8. The number 4 can get to 8 by multiplying by 2 so you multiply it by 2 also with the numerator. Add together and you have an improper fraction, if you convert it into a mixed fraction you should get 5 5/8
Answer:
B
Step-by-step explanation:
<u>This is a right triangle as shown by the right angle.</u>
- The side opposite the right angle is the hypotenuse, which is 9.
- The side opposite angle A is 3.
So we have the opposite of A and the hypotenuse.
The trigonometric ratio that relates opposite side to hypotenuse is SINE.

Since, we need angle A,
is A, opposite side is 3, and hypotenuse is 9, we substitute:

<em>To solve for the angle, we use our calculator and find the inverse sin of
:</em>

<em>Rounding to nearest tenth of a degree:</em>

B is the right choice.