Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
72 is the answer you are looking for here
9514 1404 393
Answer:
8.6 km
Step-by-step explanation:
The circumference of a circle is given in terms of its radius as ...
C = 2πr
Then the radius can be found from the circumference using ...
r = C/(2π)
Filling in the given values, we find the radius to be ...
r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km
The radius is about 8.6 km.
Answer:
12 people can fit so the van had enough sests
