There’s a cat stuck in a 12-foot-tall tree near the Art Museum! Jae has a 13-foot ladder. How far should the ladder be from the tree to make sure that the cat can be saved?

5 ft

Step-by-step explanation:

When we draw out our triangle, we should see that we have a right triangle and we need to solve for a leg:

Pythagorean Theorem: a² + b² = c²

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.