Answer: √117
Step-by-step explanation:
Since no diagram present, am assuming hypotenuse AB and right angle C. Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.
a^2 + b^2 = 22^2 (Pythagorean)
Using Pythag on two smaller triangles,
x^2 + 13^2 = a^2
x^2 + 9^2 = b^2
Substituting in first equation,
x^2 + 13^2 + x^2 + 9^2 = 22^2
x^2 = 117, so x = √117
The square root of any number is the same as that number to the 1/2 power
root(b)=b^(1/2)
Your answer is correct. Indeed:
- In order to find the degrees per minute, you have to divide the full rotation angle (which is 360deg) by the number of minutes (which is 60):
360deg ÷ 60min = 6 deg/min
- In order to find how many minutes have passed, you subtract the times:
1h50m - 1h25m = 0h25m
- You then find how many degrees correspond to 25minutes:
6 deg/min × 25 min = 150deg
- Lastly, you transform degrees into radiants, through the proportion:
deg : 180 = rad : π
Therefore,
150 : 180 = rad : π
rad = (150×π)/180 = 5π/6
Answer:
1 5/7
Step-by-step explanation:
