Answer:
The length of LK is 52 units.
Step-by-step explanation:
According to the Euclidean Geometry, if two triangles are similar, then every pair of respective sides are proportional and reports the same ratio. In this case, we construct the following formula:
(1)
If we know that 
, 
and 
, then the length of 
is:
The length of LK is 52 units.
3/x = 4/3
4x = 9
x = 9/4
5/y = 4/3
4y = 15
y = 15/4 (B)
So, we know this:
<span> 5x+10y = 800
and we also know that the number of larger vehicles was 50.
So we can substitute:
</span>
<span>5x+10y = 800
</span>
<span>5x+10*50 = 800
and calculate:
</span><span>5x+500 = 800
and now subtract 500 from both sides:
5x=300
and divide by 5:
x=60.
and this is our answer: there were 60 smaller vehicles washed!
</span>
Answer:
x=12m
Step-by-step explanation:
44 divide by 3 2/3 = 12
Answer:
height of the utility pole = 12 meters
Step-by-step explanation:
It is simple application of Pythagoras theorem.
In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.
The applying Pythagoras theorem.
H^2 = P^2 +B^2
⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144
⇒ P = 12 meters
hence, height of the utility pole = 12 meters
