To solve this, let us first imagine a smaller triangle
created by the head of Jim (A), the top of the lamp post (B), and somewhere on
the body of the lamp post which is directly perpendicular to the head of Jim
(C).
CB = 16 – 6 = 10 ft
AC = 4 ft
Calculate for angle B using tan function:
tan B = AC / CB
B = tan^-1 (4 / 10)
B = 21.8°
Now imagine a bigger triangle created by the tip of
shadow (D), the top of the lamp post (B), and the base of the lamp post (E).
BE = 16 ft
B = 21.8°
We can calculate for DE using tan function:
tan B = DE / BE
(16 ft) tan 21.8 = DE
DE = 6.4 ft
Since Jim is 4ft away from the base of the lamp post,
therefore the length of the shadow is:
6.4 ft – 4 ft
= 2.4 ft
Therefore the length of Jim’s shadow is 2.4 ft long
Answer:
domain: (-∞,∞)
Step-by-step explanation:
g of f means plug the function f(x) in to x in the function g(x)
since this is a parabola with no interval, the domain (the graph on the x-axis from left to right) is all real numbers or (-∞,∞)
Answer:
m=2
Step-by-step explanation:
STEP 1 : m+0.6=2.6
move constant to the right-hand side and change it's sign m=2.6-0.6
STEP 1: m=2.6-0.6
subtract the numbers m=2
Answer:
11 km/hr.
Step-by-step explanation:
Given information:
Simulated speed = 20/km/h
Time = 15 mins = 1/4 hr = 0.25 hr
Distance Covered as per simulated speed =
Position of Julian according to the app = .
Actual distance covered by the bike is
Formula for speed:
Therefore, the average speed of Julian is 11 km/hr.