Hey there!
Complementary angles add up to 90 degrees.
We are given
An angle of 79 degrees
and we're asked to find the complement of the angle.
So let's set up an equation:
79+x=90
where x=the unknown angle
Subtract 79 from both sides:
79-79+x=90-79
x=11
Hence, the measure of the unknown angle is

Hope everything is clear.
Let me know if you have any questions!
#LearningIsFun

Math I hate math bc it sucks
<h3>
Answer: 42.8 feet</h3>
Work Shown:
h = height of the building
h is opposite the reference angle (55)
the adjacent side is 30 feet
tan(angle) = opposite/adjacent
tan(55) = h/30
h = 30*tan(55)
h = 42.84444 which is approximate
h = 42.8 feet
Answer:
1. 22583.5 J
2. 1248 kg
3. 78.09 m/s
Step-by-step explanation:
The formula for kinetic energy is ;
K.E = 1/2* m * v²
Where m is the mass and v is the velocity
1.
K.E = 1/2 * m*v²
K.E = 1/2 * 47 * 31²
K.E = 22583.5 J
2.
Velocity = 9.78 m/s.
Kinetic energy = 60,800 J
To get mass, apply the formula as;
K.E = 1/2 * m*v²
60,800 = 1/2 * m * 9.78²
60800 = 48.70845 m
60800/48.70845 = m
1248 = m
Mass = 1248 kg
3.
K.E = 143.3 J
Mass = 0.047 kg
Apply the formula;
K.E = 1/2 * m*v²
143.3 = 1/2 * 0.047 * v²
143.3 = 0.0235 v²
143.3/0.0235 = v²
6097.87 = v²
v = √6097.87
v= 78.09 m/s
Answer:
I believe its B, But I am unsure since I haven't done geometry in a couple years.