Answer:
x = 4
Step-by-step explanation:
Answer:
<em>15.4 </em>
Step-by-step explanation:
= tan51.3° ⇒ u = 4tan51.3° ≈ 5
= cos51.3° ⇒ v = 
≈ 6.4
<em>P </em>≈ 4 + 5 + 6.4 = <em>15.4</em>
Step-by-step explanation:
the process is shown in the picture.
To solve this problem, let us first assign variables. Let
us say that:
A = runner
B = cyclist
d = distance
v = velocity
time = t
The time in which the cyclist overtakes the runner is the
time wherein the distance of the two is the same, that is:
dA = dB
We know that the formula for calculating distance is:
d = v t
therefore,
vA tA = vB tB
Further, we know that tA = tB + 2, therefore:
vA (tB + 2) = vB tB
4 (tB + 2) = 14 tB
4 tB + 8 = 14 tB
10 tB = 8
tB = 0.8 hours = 48 min
Therefore the cyclist overtakes the runner after 0.8
hours or 48 minutes.
