A pole 30m long leaned against a vertical wall at an angle of 30° with the ground.
Calculate, (a) how high up on the wall will the pole reach?
(b) how far is the foot of the pole from the wall?
Answers
Answer:
Let AB be the pole. Pole lean against the wall at point A and rest on the ground at B.
AB=10 m ; ⎳ABC = 60°
Let the foot of wall be at C.
BC= Distance between foot of the pole and wall = x
Cos 60° = x/10
x = 10 cos 60° = 10/2 = 5
Ans: Foot of the pole is at a distance of 5m from the wall
A six-metre-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? How far from the wall is the base of the ladder? Round your answers to two decimal places as needed
A ladder 2.5m long is placed against a wall. If its upper end reaches the height of 2m long the wall, what is the distance of the foot of the ladder from the wall?
A 30 feet ladder rests on a vertical wall and reaches an altitude of 22 feet. How far is the foot of the ladder from the wall?
The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?
A ladder 12 meters long is leaning against the wall of a building. The bottom of the ladder is sliding away from the wall at the rate 1.5 m/s. How fast is the top of the ladder sliding down when it is 3 meters above the ground?
Solution
Distance from foot of pole to wall
=10×cos 60°
=10×0.50 = 5 Meter. Answer
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tan60=y/x
y=√3x
10=√(x^2+y^2)
√(x^2+3x^2)=2x
x=5m
Coss60°=X/10
1/2=X/10
X=5m
A six-meter-long ladder leans against the building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Ow far from the wall is the base of the ladder? Round your answers to two decimal places as needed
A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. What is her distance x from the pole?
What is the maximum value of (1/x) power x?
A balloon is rising vertically over a point A on the ground at the rate of 15 m/sec.A point B on the ground is level with and 30m from A.When the balloon is 40m from A, at what rate is its distance from B changing?
A person looked at a flag mounted on a pole with an angle of elevation of 42 degrees. If that person is 30m from the base of the pole, how high is the pole?
Cos 60°= b/10
1/2= b/10
b= 5 m answer
10*cos60=10*1/2=5 metres
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6 mts.
A six-metre-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? How far from the wall is the base of the ladder? Round your answers to two decimal places as needed
A ladder 2.5m long is placed against a wall. If its upper end reaches the height of 2m long the wall, what is the distance of the foot of the ladder from the wall?
A 30 feet ladder rests on a vertical wall and reaches an altitude of 22 feet. How far is the foot of the ladder from the wall?
The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?
A ladder 12 meters long is leaning against the wall of a building. The bottom of the ladder is sliding away from the wall at the rate 1.5 m/s. How fast is the top of the ladder sliding down when it is 3 meters above the ground?
A six-meter-long ladder leans against the building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Ow far from the wall is the base of the ladder? Round your answers to two decimal places as needed
A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. What is her distance x from the pole?
What is the maximum value of (1/x) power x?
A balloon is rising vertically over a point A on the ground at the rate of 15 m/sec.A point B on the ground is level with and 30m from A.When the balloon is 40m from A, at what rate is its distance from B changing?
A person looked at a flag mounted on a pole with an angle of elevation of 42 degrees. If that person is 30m from the base of the pole, how high is the pole?
The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. What is the width of the Ladder?
A ladder 20m long is leaning against a vertical wall. It makes an angle of 30 degrees to the ground, how high is it on the wall?
A 12-ft-long ladder reaches 10 ft up a vertical wall. To the nearest degree, what angle does the ladder make with the ground?
The Top of a 15 metre high tower makes an angle of elevation of 60 degree with the bottom of an electric pole and angle of elevation of 30 degree with the top of pole. What is the height of the electric pole?
A ladder 13 m
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