Question

based on the ramps below and their heights and lengths (not to scale), which one is less steep?
options: abc, def, both have the same steepness

Explanation:

Step1: Calculate steepness of ABC

Steepness is the ratio of vertical to horizontal side: $\frac{AB}{AC} = \frac{7}{4} = 1.75$

Step2: Calculate steepness of DEF

Steepness is the ratio of vertical to horizontal side: $\frac{DF}{DE} = \frac{3}{4} = 0.75$

Step3: Compare the two values

$0.75 < 1.75$, so DEF is less steep.

Answer:

DEF