Answer: B. 13 ft.
Step-by-step explanation:
Given : Dalton is standing 5 feet away from a 12-foot light post.
Let AB denotes the distance of Dalton from light post and AC be the height of the light post.
To find: BC( Hypotenuse).
As we know , the light post stands straight on the ground makes an angle of 90° ( right angle). That means the triangle ABC is a right triangle.
Sop by Pythagoras theorem of right triangle , we have
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\\Rightarrow\ (BD)^2=AB^2+BC^2\\\\\Rightarrow\ (BD)^2=5^2+12^2=25+144=169\\\\\Rightarrow\ Bd=\sqrt{169}=13\ ft.[/tex]
Hence, the straight distance from where Dalton is standing to the top of the light post is 13 ft..
So the correct option is B. 13 ft.
