Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as:
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

Multiply both sides by 80

Calculate sin(46) using a calculator (make sure it's in degree mode)

Simplify

Round this to the nearest foot

The answer is C.
You want:
10 < a < 14 (greater or equal)
The difference between 10 and 12 is 2.
The difference between 12 and 14 is 2.
Therefore the absolute value allows you to express that the difference between a and 12 cannot be greater than 2 (either going up to a max of 14 or going down to a minimum of 10).
-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11
simplify :
4y-25=11
add 25 on both sides
4y-25=11
+25 +25
the 25 cancels out
so it would be 4y=36
and you divide both sides by 4
4/4 =36/4
which gives you (5,9)
x= 5 , y =9
Answer:
one i think
Step-by-step explanation: