Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round you answer to the nearest tenth.

7.1

Step-by-step explanation:

write pythagorean theorem + =

2 = 100

divide 2 both side:

= 50

=

=

= 7.07106781

round to nearest tenth:

= 7.1

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9