The distance�ãd in kilometres to the horizon can be estimated using the formula d = 13h,where h is the height above ground level, in metres, of the observer.
(a)
Use the formula to find the distance to the horizon for an observer on the London Eye, 135m above ground.
(b)
Rearrange the formula to make h the subject
(a) Substitute 135 for h and solve for d.
(b) Divide both sides by 13.
(a) To find the distance to the horizon for an observer on the London Eye, who is 135m above ground, we can use the formula d = 13h.
Substitute the given value of h = 135m into the formula:
d = 13 * 135
Multiply to get the distance:
d = 1755m
Therefore, the distance to the horizon for an observer on the London Eye is approximately 1755 meters.
(b) To rearrange the formula to make h the subject, we need to isolate h on one side of the equation.
Start with the formula:
d = 13h
Divide both sides by 13 to isolate h:
d/13 = h
Now, we have h as the subject of the formula.
Therefore, the rearranged formula to find the height above ground level, h, can be expressed as h = d/13.