A ladder 23 feet long leans against a wall and the foot of the ladder is sliding away at a constant rate of 3 feet/sec. Meanwhile, a firefighter is climbing up the ladder at a rate of 2 feet/sec. When the firefighter has climbed up 6 feet of the ladder, the ladder makes an angle of ?/3 with the ground. Answer the two related rates questions below. (Hint: Use two carefully labeled similar right triangles.) (a) If h is the...
A ladder 7.80m long leans against the side of a building. If the ladder is inclined at an angle of 77.0°to the horizontal, what is the horizontal distance from the bottom of the ladder to the building? m
A ladder 7.80 m long leans against the side of a building. If the ladder is inclined at an angle of 70.5° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building?
8) Bob places an 18-foot ladder 6 feet from the base of his house and leans it up against the side of his house. Find, to the nearest degree, the measure of the angle the bottom of the ladder makes with the ground. Enter your answer in the box
1. The angle of elevation to the top of a very tall Building is found to be 8° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building. (Round your answer to the nearest foot.) _______ft 2. A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 71°. How high does the ladder reach on the building? (Round...
A 48.2 kg, 3.1 m uniform ladder leans against a frictionless wall. A 97.8 kg person is standing on the ladder down 0.96 m from the top of the ladder. The ladder makes an angle of 57 degrees with the horizontal. What is the minimum coefficient of static friction between the ladder and the ground so that the ladder does not slip?
Slipping Ladder. A ladder of length 6 m and mass 15 kg leans against a wall at an angle 30° with respect to the wall. The ladder is frictionless against the wall but against the ground it has js = 0.4. How high can a 70 kg person climb before the ladder slips?
4 A ladder leans against the side of a house. The nd the' i rom the ground. Find the length of the ladder. Round your answer to the nearest tenth, angle of elevation of the ladder is 61°, a 20.8 13 61
Romeo takes a uniform 11 m ladder and leans it against the smooth wall of the Capulet residence. The ladder's mass is 21.0 kg, and the bottom rests on the ground 2.8 m from the wall. When Romeo, whose mass is 73 kg, gets 90% of the way to the top, the ladder begins to slip. What is the coefficient of static friction between the ground and the ladder?
A ladder 7.50 m long leans against the side of a house. If the ladder is inclined at an angle of 76.0° to the horizontal, what is the horizontal distance from the bottom of the ladder to the house (in m)?