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How long must a ladder be if it is to be leaned against a house at a point 9 feet above the ground resting at least 3 feet from the bottom edge of the wall?
Wiki User
∙ 13y ago
This describes a right triangle. This triangle has a base (X ) of 3 ft, a opposite side ( Y) of 9 ft. So, you are looking for the hypothenuse. Use the Pythagoreum theory.
In this case. Your ladder length is called H.
H^2 = X^2 + Y^2
H = sqrt X^2 + Y^2
Wiki User
∙ 13y ago
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A ladder rests against a wall the top of the ladder reaches 15 feet up the wall and makes an angle of 53 with the wall how long is the ladder?
If the wall is straight and the ground level then this is an outline of a right angle-triangle. If the top of the ladder makes an angle of 530 with the wall then the bottom of the ladder must make 370 to the ground. Use the sine ratio to find the length of the ladder (which will be the hypotenuse) sin = opp/hyp rearranged to hyp = opp/sin hyp = 15/sin370 = 24.92460212 feet So the length of the ladder is 25 feet correct to the nearest foot.
A ladder that leans against a building makes an angle of 49 degree with the ground and reaches a point on the building 12m above the ground Find the length of the ladder to the nearest meter?
The ladder forms a right angle with the building: the ground and the building forming the right angle and the ladder forming the hypotenuse. If the length of the ladder is L metres, then sin(49) = 12/L So L = 12/sin(49) = 15.9 = 16 metres.
If A ladder leaning against a wall makes a 60 angle with the ground the base of the ladder is 3 m from the building how high above the ground is the top of the ladder?
This answer uses trigonometry to avoid a lot of work:tangent = opposite/adjacent and tangent*adjacent (base of ladder from the building) = opposite (height of ladder above ground)So: tangent 60 degrees*3 = 5.196152423Therefore: Top of the ladder above ground = 5.2 meters correct to one decimal place.More laborious methodThe right triangle formed by the wall, ground and ladder has sides in the ratio of 1::2::sq-rt-of-3. The shortest side is the one opposite the 30 degree angle, i.e., the given distance from wall to base of the ladder--3 m.The length of the ladder represents the hypotenuse of the triangle, and is twice as long, hence 6 m.And the height of the ladder's top from the ground is proportional to the third side whose length is sq-rt-3 times that of the shortest side. Sq-rt-3 is about 1.732, so height of the ladder's top at the wall is about 5.20 m, or 520 cm.
When A 12-foot extension ladder is placed against a wall To achieve the proper climbing angle approximately how far should the bottom of the ladder be from the base of the wall?
You may set the correct distance by trying different angles so that you feel confortable when climbing the ladder. Approximately between 80 to 130 cm. But it is the correct angle that can tell you the adequate distance from the wall. Only by climbing a ladder you know it. I advise you to put a piece of rubber under the ladder so that it can't slip.
Ken leans a 12-foot ladder against his house He places the ladder so that the base is 5 feet from the house How far up the house does the ladder reach?
10.9 [11]
A 24-foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 22 feet from the basse of the building?
56
A 15-foot ladder is leaning against a 30-foot wall The bottom end of the ladder is 9 feet from the wall How many feet above the ground does the ladder touch the wall?
12
A 15 foot ladder is leaning against a 30 foot wallthe bottom end of the ladder is 9 feet from the wallhow many feet above the ground does the ladder touch the wall?
12 feet.
What angle does bottom of ladder make with ground when leaned against a houseon a 31 degree angle from the top?
90 - 31 = 59 degree
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is one foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 5 feet?
A. 11 feet B. 13 C. 12 D. 14.
Is there any difference between a Jacob's ladder and pilot ladder?
Jacob's ladders do not have spreaders to avoid it from twisting when resting against the ship's hull
A 10-foot ladder is leaning against a tree The bottom of the ladder is 4 feet away from the bottom of the tree About how high up the tree does the top of the ladder reach?
9.2
If a 15foot ladder is leaning against a 30foot wallthe bottom of the ladder is 9feet from the wallhow many feet above the ground does the ladder touch the wall?
Use Pythagoras' theorem: 152-92 = 144 and the square root of 144 is 12 Answer: 12 feet
A ladder leaning against a wall makes a 60 degree angle with the ground When is it more likely to slip when a person stands on the ladder near the top or near the bottom Explain?
near the bottom.because the net force is equal to zero
A firefighter places a ladder against a building The ladder forms a 47 angle with the ground What is the measure of the angle between the ladder and the building?
43 degresses
A 40 foot ladder is placed against a building the ladder forms a 75 degree angle with the ground How high up the building does the ladder reach?
115
A 10 meter ladder is leaning against a building The bottom of the ladder is 5 meters from the building How many meters high is the top of the ladder?
5 meters
