0
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?
Wiki User
∙ 14y ago
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 = 5.196152423
Therefore: 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.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
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 painter leans a 34ft ladder against a building The base of the ladder is 16ft from the building To the nearest foot how high on the building does the ladder reach?
30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.
A ladder 10 ft long leaning against a wall at a 71 angle how high up the wall does the ladder reach?
10 sin71 = 10 x 0.9455 = 9.455 feet (just under 9' 5½")
The foot of a ladder is placed 5 feet from a building the top of the ladder rests 12 feet up on the building how long is the ladder?
13 feet
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 48-foot ladder is leaning against the wall of a building The top of the ladder is touching the ledge of a window that is 45 feet off the ground About how far is the base of the ladder from the wal?
93
The diagram shows a ladder leaning against a building?
25.99 ft
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 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.
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
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
A 14 foot ladder is leaning against a building the ladder makes a 45 degree angle with the building how fa?
A ladder is leaning against a building the distance from the building to the botton of the ladder is 7 feet the ladder is 25 feet long how high up the building is the top of the ladder?
It is: 24 feet by using Pythagoras' theorem
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 5 foot ladder is leaning against a 4 foot wall How many feet above the ground does the ladder touch the wall?
9
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.
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
