Ah...Trigonometry is fun!
The law of sines states:

The transitive property (switching the orders of the equations) applies here. Therfore, we can say that

We then plug in our given values to find C


Solving, we get 0.8557316387.
We're not done yet!We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).
arcsin0.8557316387 (arcsin is the same as inverse sin)
=
58.8 (approximate)
So the measure of angle C is 58.8. You could check this by reinserting it into the equation

.
:)
Answer:
x > -5
Step-by-step explanation:
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.
Answer:
21
Step-by-step explanation:
3.5x=42
x represents the length, since the formula to find area of a rectangle is width times length.