Use similar triangles to calculate the height, h cm, of triangle ABE.

h=24cm

Step-by-step explanation:

∠DBC=∠ABE (vertically opposite angles)

∠CDB=∠AEB (alternate angles)

∠DCB=∠BAE (alternate angles)

Therefore the triangles DBC and ABE are similar.

That means that the triangles are in ratio to each other.

CD:AE

10:20

1:2

This means that the height of DBC is half the height of BAE.

Since the sum of their heights is 36, h is 2/3 of 36.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.