Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building. If he pla
ces the ladder at a 60° angle with the ground, about how long is the ladder?
1 answer:
Check the picture.
Let BC represent the wall, AC the ladder and AB the distance of the feet of the ladder to the wall.
ABC form a right triangle, with m(B)=90°, m(A)=60° and m(C)=30°.
AB is the side opposite the angle 30°, so the length of AB is half of the length of the hypotenuse AC.
Thus, let |AC|=2x, and |AB|=x.
By the Pythagorean theorem:
thus
the length of the ladder is
feet
Answer:
feet
Let BC represent the wall, AC the ladder and AB the distance of the feet of the ladder to the wall.
ABC form a right triangle, with m(B)=90°, m(A)=60° and m(C)=30°.
AB is the side opposite the angle 30°, so the length of AB is half of the length of the hypotenuse AC.
Thus, let |AC|=2x, and |AB|=x.
By the Pythagorean theorem:
thus
the length of the ladder is
Answer:
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ANSWER
EXPLANATION
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