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yungkxng57
13.07.2021 •
Mathematics
A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet. What is the height of the ladder?
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Ответ:
17.89 ft
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 +16^2 = c^2
64+ 256 = c^2
320 =c^2
Taking the square root of each side
sqrt(320) = sqrt(c^2)
sqrt(64*5) = c
sqrt(64) sqrt(5) =c
8 sqrt(5) = c
17.88854382=c
17.89 ft
Ответ:
![\boxed{\large{\bold{\blue{ANSWER~:) }}}}](/tpl/images/1393/5194/8ad8d.png)
Given:-A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet. Find:-What is the height of the ladder?solution:-A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet.
so it is a right angle triangle
we know that,in a right angle triangle, According to the Pythagorean theorom,
where
l= legs b=baseh=hypotenuse According to the question,The height of the ladder is![\sf{8\sqrt{5} }](/tpl/images/1393/5194/531d4.png)
Ответ: