Answer:
B. 68°
Step-by-step explanation:
Since, opposite sides of the quadrilateral MNPQ are parallel.
Therefore, it is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
So,
(6x - 2)° = (4x + 36)°
6x - 2 = 4x + 36
6x - 4x = 36 + 2
2x = 38
x = 38/2
x = 19
Remark
This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.
Step One
Set up the sine Law.
Step Two
Substitute values
Sin(x) = ??
sin(75) = 0.9659
Step Three
Cross multiply and Solve
22* Sin(x) = 12 * 0.9659
22* Sin(x) = 11.591 divide by 22
sin(x) = 11.591 / 22
sin(x) = 0.5269
Step Four
You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.
x = sin^-1(0.5269)
2nd F
Sin^-1
(
0.5269
)
=
You should get 31.79 degrees.
Answer:
The wall is 10.5 foot far from the bottom of the ladder.
Step-by-step explanation:
Given:
Height of the ladder leaning against wall (Hypotenuse) = 20 foot.
Height from where the window is above from the ground (Leg1) = 17 feet.
To find the distance of the bottom of the ladder far from the wall (Leg2) = ?
Now, by using the pythagorean theorem:
by squaring both sides
10.535 foot rounded nearest tenth is 10.5 foot.
Therefore, the wall is 10.5 foot far from the bottom of the ladder.