For a right triangle with 60° angle, and hypotenuse h=10√3,
x=h*sin(60)=10√ 3 * √3/2 = 30/2=15
y=h*cos(60)=10√3 * (1/2) = 5√3
Answer:
Option D. c = 45 will be the answer.
Step-by-step explanation:
In the figure attached there are two similar parallelograms PARL and WXYZ.
In which AP = 15, PL = 40, WZ = 120 and WX = c
By the property of similarity, corresponding sides of the given parallelograms will be in the same ratio.


c =
[By cross multiplication]
c = 45
Therefore, Option D. c = 45 will be the answer.
This is an incomplete question, here is a complete question and image is also attached below.
How much longer is the hypotenuse of the triangle than its shorter leg?
a. 2 ft
b. 4 ft
c. 8 ft
d. 10 ft
Answer : The correct option is, (b) 4 ft
Step-by-step explanation:
Using Pythagoras theorem in ΔACB :


Given:
Side AC = 6 ft
Side BC = 8 ft
Now put all the values in the above expression, we get the value of side AB.



Now we have to calculate the how much longer is the hypotenuse of the triangle than its shorter leg.
Difference = Side AB - Side AC
Difference = 10 ft - 6 ft
Difference = 4 ft
Therefore, the 4 ft longer is the hypotenuse of the triangle than its shorter leg.
Answer: 
Step-by-step explanation:
If you meant to solve for "z", then refer to the attachment below.