A15 foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot, how high does the top of the ladder reach?

7 ft.

14.5 ft.

15.5 ft.

209 ft.

14.5 ft

Step-by-step explanation:

use pythagorean theorem: a^2 + b^2 = c^2

a = 4   b = ?   c  = 15

15^2 - 4^4 = 209

square root of 209 = 14.5

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.