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A ladder 10 ft long resting against a house makes a 60 degree angle with the ground How far up the house does it reach?
Wiki User
∙ 14y ago
with the assumptions that the ground is level and the house is vertical this particular triangle has unique properties that will be good to know and remember. 10ft is the length of the hypotenuse, therefore (like on all 30-60-90 triangles) the short side is 1 half of this number 10 ft. or precisely 5 ft from the base of the house, and the long side (side of the house) is 5ft x sq rt of 3 or 8.66 ft. I call this the 1 2 square root of 3 triangle to identify the length of each side given the 60 degree angle. and those numbers (1 2 sq rt of 3) can be multiplied by any known length to determine the other 2. You must know that this is probably the most important trigonometry association to remember. 1 (shortest side), 2 (hypotenuse or the longest side) and sq rt of 3 (long leg) and this is only true with a 30-60-90 triangle
Wiki User
∙ 14y ago
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What is the answer to A 15-m long ladder rests against a wall at an angle of 60 degrees with the ground How far is the foot of the ladder from the wall?
15*cos(60) = 7.5 7.5 m
A 10-m ladder is leaning against a building The bottom of the ladder is 5 m from the building. how high is the top of the ladder?
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.
What is the answer to A ladder 15 feet long leans against a wall and forms an angle of 45 degrees with the ground how far from the wall is the ladder?
Assuming the wall is vertical, the wall, the ground and the ladder form an isosceles right-angled triangle. Pythagoras tells us that the square of the length of the ladder, in this case 225 equals the sum of the squares of the other two lengths, ie the height where the ladder touches the wall and the bottom of the ladder's distance from the wall. As these distances are equal in an isosceles triangle each must be the square root of (225/2) ie sqrt 112.5 which is 10.6066, as near as makes no difference to 10 ft 71/4 inches
A ladder leans against a wall making an angle of 73 degress with the ground The ladder's base is 1.17m away from the wall Determine the length of the ladder?
Providing that the ground is level and that the wall is straight, you have the outline of a right angled triangle with an adjacent angle of 73 degrees and an adjacent length of 1.17 metres. In order to find the length of the hypotenuse (which is the ladder itself) we use the cosine ratio: cosine = adjacent/hypotenuse Which when rearranged is: hypotenuse = adjacent/cosine hypotenuse = 1.17/cosine73 degrees = 4.001755235 So the length of the ladder is 4 metres correct to one significant figure.
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
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 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
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 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.
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 ladder is leaning against a wall If the angle is between the ground and the ladder at 60 degrees and the wall is 4m how long is the ladder Give exact values?
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.
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
Ladder stand 10 foot tall when braced against a wall the bottom of the ladder is 6 foot away from the wall how far up the wall does the ladder go?
assuming the wall and ground make a 90 degree angle with one another, Pythagorean's Theorem states the ladder will go 8 feet up the wall.
A ladder is resting against a wall The top of the ladder touches the wall at a height of 6 feet Find the length of the ladder if the length is 2 feet more than its distance from the wall?
10 feet, and it is at a very dangerous angle.
A 14 foot ladder is leaning against a building the ladder makes a 45 degree angle with the building how fa?
An 80kg man is 14 of a way up a 10m ladder that is resting against a smooth frictionless wall What is the friction force if the ladder weighs 20kg and makes an angle of 60 degrees?
170 newtons
A 5 foot ladder is leaning against a 4 foot wall How many feet above the ground does the ladder touch the wall?
9
