SOH-CAH-TOA
sin Q = <u>Opposite</u> = <u>26</u>
hypotenuse x
sin 54 = <u>26</u>
x
x sin 54 = 26
<u>x sin 54</u> = <u> 26 </u>
sin 54 sin 54
x = <u> 26 </u> = 32.1378 ≈ 32.1 feet
sin 54
This is Complementary angle
Measure of Complementary angles is 90°





D. Seems like the right answer to me as far as I know
Answer:
1. √74; 2. (24.5, 21.5)
Step-by-step explanation:
1. Distance
You could use the distance formula to calculate the length of PQ, but I prefer a visual approach, because it requires less memorization.
Draw a horizontal line from P and a vertical line from Q until they intersect at R (28, 19).
Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

2. Midpoint of line
The coordinates of the midpoint are half-way between the x- and y-coordinates of the end points.
For the x-coordinate, the half-way point is
(21 + 28)/2 = 49/2 = 24.5
For the y-coordinate, the half-way point is
(19 +24)/2 = 43/2 = 21.5
The coordinates of the midpoint M are (24.5, 21.5).