If you place a 37-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bottom of the building?l

35 ft

Step-by-step explanation:

Picture the ladder leaning against the building as the hypotenuse of a right triangle. Now picture the building as a leg of a right triangle. Now, you can use the Pythagorean Theorem to calculate the last leg:

(if you don't know what the Pythagorean Theorem is lmk and I'll explain it)

a^2 + b^2 = c^2

12^2 + b^2 = 37^2

144 + b^2 = 1369

b^2 = 1225

b = 35

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.

step-by-step explanation:

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