A civil 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 8 feet from the base of the house and is 12 feet tall. The other tree is 10 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.

15.8 feet

Step-by-step explanation:

The base of the house is at the origin.  This makes the ordered pair representing it (0, 0).

The top of the shorter tree is represented by the ordered pair (13, 9).  The top of the taller tree is represented by the ordered pair (10, 14).

We will use the distance formula for each.

For the shorter tree:



For the taller tree:



The smaller distance is 15.8.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: