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The wall height is 12 feet.
The ladder represents the hypotenuse of the right triangle formed by the ground distance (A), wall (B), and ladder (C).
The height of the wall is B where C2 = A2 + B2
Substituting :
(13)2 = (5)2 + B2
169 = 25 + B2
144 = B2
and B= 12
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Round the base angle to 70 degrees and use the sine ratio: 30*sine 70 degrees = 28.19077862 feet Height of ladder from the ground = 28 feet to 2 s.f.
Lean a ladder against a wall. Not too steep . . . Give it a nice angle, for safe climbing. The height is the distance between the ground and the place where it hits the wall. The slant height is the length of the ladder.
A ladder leaning against a wall. The slated part of the roof of a house.
It is: 24 feet by using Pythagoras' theorem
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12
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12 feet.
Its pythagoras: 102 - 52 = vertical height2. So 100-25 = vertical height2. Then the square root of 75 must = vertical height. Which makes the top of the ladder 8.66 feet (8ft 8 inches) from the ground.
Round the base angle to 70 degrees and use the sine ratio: 30*sine 70 degrees = 28.19077862 feet Height of ladder from the ground = 28 feet to 2 s.f.
If the angle between the ladder and the ground is 60 deg, and you know the angle between the ground and the wall is 90 deg, then you have a 30-60-90 degree triangle, which is a common triangle. You should memorize this one. The commonest sides of this right triangle are 4-5-6, with the longest side being the hypoteneuse, in this case the ladder leaning from the ground to the wall. The wall is 4m high, the base of the ladder would be 5m out from the wall, and the length of the ladder is 6m.
Lean a ladder against a wall. Not too steep . . . Give it a nice angle, for safe climbing. The height is the distance between the ground and the place where it hits the wall. The slant height is the length of the ladder.
25.99 ft
A. 11 feet B. 13 C. 12 D. 14.
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