Step-by-step explanation:
Let alpha be the unknown angle. We can set up our sine law as follows:

or

Solving for alpha,

55° is equal to 0.9599 radians.
Step-by-step explanation:
Step 1:
If an angle is represented in degrees, it will be of the form x°.
If an angle is represented in radians, it will be of the form
radians.
To convert degrees to radians, we multiply the degree measure by
.
For the conversion of degrees to radians,
the degrees in radians = (given value in degrees)(
).
Step 2:
To convert 50°,

radians.
So 55° is equal to 0.9599 radians.
Answer:
The length of the missing side x = 47.57 in
Step-by-step explanation:
Given
Ф = 28°
The length of the side adjacent to the angle Ф is = 42 in
To determine
The hypotenuse x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
substitute adjacent = 42 in, hypotenuse = x and Ф = 28°
cos 28° = 42 / x
x = 42 / cos 28°
x = 47.57 in
Therefore, the length of the missing side x = 47.57 in
Answer:
The numerical length of UW is 27
Step-by-step explanation: