Question

Priya is teaching her younger cousin to ride a bike. She wantsto stay on roads that are not too step and easy enough for anew bike rider. She has decided the roads must have an angleless than or equal to 7 degrees. A 7 degree angle in a righttriangle has a 3:25 ratio for the legs. Which of the following isNOT the legs of a right triangle that would be safe for a newbike rider according to Priya?

Answer 1

Let's start by drawing the triangle

Now, let's take a look at the given options

A. 1.5 : 12.5

B. 9 : 75

C. 6 : 50

D. 4.5 : 37.75

Ratio for the legs -> 3 : 25

Let's find which of the options is different to 3 : 25

A)

for 1.5 / 12.5 , if we multiply them by 2, we will get 3 / 25 , hence 1.5/12.5 = 3/25

B)

for 9 /75 , if we divide the terms by 3, we will get 3 / 25 , similarly 9 / 75 = 3 / 25

C)

for 6 / 50 , if we divide the terms by 2, we will get 3 / 25 , then, 6/50 = 3/25

so far, we can see the three firsts options are not the ones we are looking for. We expect it's the last one. But let's continue

D)

for 4.5 / 37.75 , if we try to simplify this, we weill obtain 18/151 which is different to 3 / 25

Then, 4.5:37.75 is not the legs of a right triangle that would be safe for a new bike rider according to Priya