Answer:
a) 3.507
b) 75.48
c) 78.41
Step-by-step explanation:
Problem A
The opposite side of the angle and the hypotenuse are involved in the question. Therefore you will be using the sine.
sin(26) = x / 8 Multiply both sides by 8
8*sin(26) = x Sin(26) = 0.4384
8*0.4384 = x Do the multiplication
3.507 = x
Problem B
The side adjacent and the hypotenuse are used in this problem. The angle is given, so you are working with the cosine.
Cos(58) = adjacent / hypotenuse
Cos(58) = 0.5299
0.5299 = 40/x Multiply both sides by x
0.5299 x = 40 Divide both sides by 0.5299
x = 40 / 0.5299
x = 75.48
Problem C
The opposite side and the adjacent side are involved and the angle is given.
Tan(71) = opposite / adjacent
tan(71) = 2.904
2.904 = x / 27 Multiply both sides by 27
2.904 * 27 = x Combine
x = 78.414
Answer: 
Step-by-step explanation:
For this exercise you must use the followinG Trigonometric Identity:
In this case, given the right triangle PQR, you can identify that:
Then, the next step is to substitute those values into :
And the final step is to solve for "QR" in order to find its value.
So you get that this is:
Answer:
6300
Step-by-step explanation:
