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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?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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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.
what is the angle of elevation of the sun when a flagpole 22.5 m high casts a shadow 32.4 m long?
If we assume the the flagpole makes a 90 degree angle with the ground, then the angle of elevator for the sun is 34.778°
What are the trigonometric function of an acute angle?
The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).
A rectangular lot is 102x296 ft. Find the length of the diagonal and the angle it makes with the longest side?
The diagonal is SQUAREROOT(1022 + 2962) = 313.08ft Angle = tan-1(102/296) = 19.01 degrees
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 15 metre long ladder is placed against a wall in such a way from the wall up to what height does the ladder reach the wall?
15 meters, or less, depending on the angle.
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 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 30 foot ladder leaning against the side of a house makes a 70 degrees 5' angle with the ground how far up the side of the house does the ladder reach?
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.
A ladder 5m long against a vertical wall 2m highfind the angle that makes with horizontal and vertical?
Use trigonometry and the sine ratio: sin = opp/hyp sin = 2/5 sin-1(2/5) = 23.57817848 or 23.6 degrees to 1 dp Angle with the horizontal = 23.6 degrees Angle with the vertical wall = 66.4 degrees
How far from the base of a house is the bottom of a 25 ft ladder that makes an angle of 65 degrees with the ground?
It is: 25*cosine(65) = 10.565 feet rounded
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
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.
Why is a ladder a lever?
because lever is a part of simple machine that makes a ladder have a screw between the both sides of ladder.
What is meant by typical ladder rung?
A typical ladder rung is the bar that makes the step.
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.
