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A 17-foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 8 feet from the base of the tree. The base of the tree and the ground form a right angle as shown.


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What is the distance, in feet, between the ground and the top of the ladder?

Giving brainliest for correct answer A 17foot ladder is leaning on a tree The bottom of the ladder on on the ground at a distance of 8 feet from the base of the class=

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FarahTheOne

Answer:

15 feet

Step-by-step explanation:

Since, it's a right triangle, we will use the Pythagorean theorem formula:

[tex]a^2+b^2=c^2[/tex]

a and b are the straight sides and c is the ladder (hypotenuse).

[tex](8)^2+b^2=(17)^2[/tex]

Solve for [tex]x[/tex]:

[tex]64+b^2=289[/tex]

[tex]b^2=225[/tex]

[tex]\sqrt{b^2} =\sqrt{225}[/tex]

[tex]b=15[/tex]

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