Acivil engineer is mapping the overhead clearance of his family’s property on a coordinate grid. the ground is represented by the x-axis and the base of the house is at the origin. there are two trees on the property. one tree is 10 feet from the base of the house and is 14 feet tall. the other tree is 13 feet from the base of the house and is 9 feet tall. what is the distance from the base of the house to the closest treetop? round your answer to the nearest tenth.

15.8ft

Step-by-step explanation:

10ft x 14ft : 17.205ft (17.2ft)

9ft x 13ft : 15.81ft (15.8ft)

the distance between point a and point b is 6 units

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.