To reach the top window of a burning building that is 12 feet high, the fireman leans a 15-foot ladder against the side of the building. To reach the window, how far away from the building should he place the base of the ladder?

Q: The side of the smallest square is 16cm and the side of the largest square is 36cm. How long is the…

A: The given figure is as follows -  Given side of the smallest square is 16 cm and the side of the…

Q: A rectangular building has a length of 100 feet, a width of 50 feet and a height of 12 feet. If the…

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Q: An isosceles trapezoid-shaped flower bed has the minor base of M 12, the major base of M 21, the…

A:

Q: 4) When he got to the school, he knows that the stairs are 25 ft long and 24 ft high. Find how far…

A: We can draw the problem as: We have to find the length of AB.

Q: A 35-foot ladder is leaning against the side of a building and is positioned such that the base of…

A: Given query is to find the height where ladder touches the wall

Q: A 23-foot ladder is placed againts a vertical wall of a building, with the bottom of the ladder…

A: Given, A 23-foot ladder is placed against a vertical wall of a building, with the bottom of the…

Q: How far is the stake from the foot of the tower?

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Q: A 10 ft ladder is leaning a wall. If the base of the ladder is 6 ft from the wall, how far up the…

A:

Q: The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above…

A:

Q: the sides of a right angled triangle are x cm for height,(x+1) cm for base,(x+2) cm for hypotenuse.…

A: We have to solve

Q: A car traveling at 56 mph overtakes a cyclist who, riding at 14 mph, has hada 3 h head start. How…

A:

Q: A candle is 10 In. tall after burning for 2 hours. After 3 hours, It is 8.5 In. tall. How tall will…

A: It is given that a candle is 10 inches tall after burning for two hours and 8.5 inches after burning…

Q: A 16 foot ladder rests against the side of the house, and the base of the ladder is 4 feet away.…

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Q: Gerry plans to place a 22 foot ladder against the side of his house to clean his gutters. The bottom…

A: see 2nd step

Q: A 9-foot ladder is placed 4 feet from the base of a building. About how high does the ladder reach?

A:

Q: Joseph wants to know the height of the tree in his backyard. If Joseph is 5 ft. tall and has a…

A: given height of joseph=5 ft shadow of joseph=7 ft shadow of tree=14 ft

Q: How long must the brace be on a closet rod holder if the vertical side is 17 cm and the horizontal…

A: Given Data: The horizontal length is: H=38 cm The vertical length is: V=17 cm   From the figure, the…

Q: The perimeter of an isosceles triangle is 32 cm. If the length of the altitude drawn to the base is…

A: Consider the diagram of the isosceles triangle, it is given that the perimeter of the triangle is…

Q: An electrician needs to run a cable from the top of a 45​-foot tower to a transmitter box located 24…

A:

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft. How high up the wall will…

A:

Q: The side of a regular triangle is 2cm longer than the altitude. What is the perimeter of the…

A: Use the relation between altitude and side of a regular triangle.

Q: A ladder 35.2 feet long reaches to the top of the building when its foot stands 11.8 feet from the…

A:

Q: A wire is to be attached to support a telephone pole. Because of surrounding buildings, sidewalks,…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=x BC=17 feet from the…

Q: A 35 foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14…

A: A picture representing the given scenario is  given below SInce its a right angled triangle, Using…

Q: A wheelchair ramp is 9 feet long and sits 214 feet high. How long will a similar ramp be if it is…

A:

Q: A smockstack 75 feet high is held by 3 wires attached 10 feet from the top. To the nearest whole…

A: Consider the diagram below.The length AC is the length of each wire.

Q: If you had 20 ft ladder, how far away from the building would you have to place the bottom to reach…

A: Given, Length of ladder = 20 ft   Height of the window from the bottom is 15 ft .  We have to find…

Q: A 11 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder…

A: This is the question of the application of the Pythagoras theorem.

Q: A 3-foot-tall stake in the ground casts a 1.2-foot-long shadow. At the same time, a tree casts a…

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Q: While admiring a rather tall tree, Fred notes that the shadow of his 6-ft frame has a length of 3…

A: The above question can be put up in diagram form as follows:

Q: A regulation NBA basketball court is 94 feet long by 50 feet wide. If a basketball coach asks his…

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Q: A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jace grabs the…

A:

Q: The base of a 30-foot ladder is 10 feet from a building. If the ladder reaches the flat roof, how…

A:

Q: 2) A ladder is leaning against the side of a house. If the base of the ladder is 3 ft away from the…

A: We will use Pythagorean theorem to find answer to the question .

Q: A 19  -foot ladder leans against a building. The base of the ladder is 7  ft from the building How…

A: Given: A 19 ft. ladder leans against a building and the distance between building and base of the…

Q: Gerry plans to place a 21 foot ladder against the side of his house to clean his gutters. The bottom…

A: The side is:-

Q: A ladder that is 13 feet long is 5 feet from the base of a wall. How far up the wall does the ladder…

A: In a right angled triangle:- (Perpendicular)^2 + (Base)^2 = (Hypotenuse)^2

Q: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 4-hour…

A: Let the travelling time for a propeller plane be t, speed  is 200 mph, distance travelled by…

Q: If posts are 5 feet apart, how many posts are needed for 45 feet of straight-line fence?

A: Given the information that the posts are spaced 5 feet apart. Since the size of the post was not…

Q: The foot of a ladder is 2 m from a wall and the top of the ladder is 6 m above the ground. Calculate…

A: Given Information -  Distance between foot of the ladder and the wall = 2m The vertical distance…

Q: A ball is dropped from a height of 48 ft and rebounds two-thirds of the distance it falls. If it…

A: A ball is dropped from a height of 48 ft and rebounds two-thirdsof the distance it falls. it will…

Q: To wash a window that is 15 feet off the ground, Daniel leans a 17-foot ladder against the side of…

A: Given that, the window is 15 feet off the ground and the length of the ladder is 17 foot. The…

Q: I have a window that is 40 feet above the ground and a ladder that will reach 41 feet. To get to the…

A:

Q: The deck of a destroyer is 100 feet above sea level. How far can a person see from the deck? How far…

A: To find: The distance from which a person can see from the deck. Given information: The deck of a…

Q: What is the distance, to the nearest mile, from the origin of the Nile when the riverhas an altitude…

A:

Q: The length and width of a room measure 8 yards by 3 yards, and the walls of the room are 8 feet…

A: Given, 1 yard = 3 feet length = 8 yards =24 feet width = 3 yards = 9 feet height = 8 feet The total…

Q: A 20-foot ladder is 15 feet from a house. How far up the house, to the nearest tenth of a foot, does…

A: Given: A 20 foot ladder is placed on the house and its bottom point is at a distance of 20 feet from…

Q: How much chimney needs to protrude above my roof so that it complies with the building code?

A: Given data:     The given slope of the roof is: m=10/12. The horizontal distance of the chimney from…

Q: A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the other…

A: Given: A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the…

Q: A 26 foot long ladder is leaning up against a house. If the ladder reaches a window that is 24 feet…

A: A ladder of length 26ft is leaning against a wall and it reaches a window that is 24 ft from the…