A tree casts a shadow 80 ft long when a vertical rod 6.0 ft high casts a shadow 4.0 ft long. How tall is the tree?

Q: In sunlight, a vertical yardstick casts a 1ft shadow at the same time that a nearby tree casts a…

A: In the figure attached AB is the tree and CD is the yardstick.Shadow of tree AB is BO = 15 ft and…

Q: In an isosceles trapezium one of the non-parallel sides measure 5 cm. What is the measure of other…

A: Given: An isosceles trapezium with one of the non-parallel side as 5 cm. The objective is to find…

Q: A scale drawing of a building needs to be made using the scale 1 in =270 ft. How tall will the…

A:

Q: A post is 2.4 ft high and casts a shadow 1.3 ft long.  A tree beside the post casts a shadow 2.9 ft…

A: Given: A post is 2.4 ft high and casts a shadow 1.3 ft long.  A tree beside the post casts a shadow…

Q: A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a…

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Q: Mr. Alex designed a semicircle arch made of bent iron for the door of his garage. Suppose the…

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Q: A person 2 m tall casts a shadow 5 m long. At the same time, a building casts a shadow 24 m long.…

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Q: A scale drawing of a building was made using the scale 15cm=120ft. If the scale drawing is 45 cm…

A: A scale drawing of a building was made using the scale 15cm=120ft. Now scale drawing is 45 cm tall,…

Q: A man mows his 100 ft by 50 ft rectangular lawn in a spiral pattern starting from the outside edge.…

A: Solution

Q: A 225-foot support wire is attached to the top of a monument at a stake on the ground 100 feet from…

A: form a triangle  height of monument AB = h

Q: If a vertical pole 30 ft tall casts a shadow 8 ft long, how long would the shadow of a 40-ft pole be…

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Q: A shadow 45 meters long is cast by a cell phone tower that is 24 meters tall. What is the height of…

A: Given: The cell phone tower AB and stone tower PQ as follows:

Q: If a 30 ft tall building casts a 40 ft long shadow, how tall is a building that casts a 56 ft long…

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Q: A girl used a ladder 6m long to climb the top of a dike whose sides are inclined 42 degrees with the…

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Q: If a 28-meter pine tree casts a shadow of 28 meters, how far is the tip of the shadow from the top…

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Q: A tightrope walker located at a certain point deflects the rope as indicated in the figure. If the…

A: We need to find tension in each rope.

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: if a boiling geyscer is 29 feet long and 73 degrees high, how high did the boiling water reach?

A: if a boiling geyscer is 29 feet long and 73 degrees high, how high did the boiling water reach?

Q: 3. If a 40meter flagpole casts a shadow of 5 meters at the same time that a nearby tree casts a…

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Q: A vertical rod 10 feet high casts a shadow, at a particular time of day, and 8 feet. A tree, at the…

A: let the height of tree is h feet therefore by law of proportion 10h=8468h=460h=57.5 feet

Q: A tree casts a shadow 96 ft long when a vertical rod 9.0 ft high casts a shadow 4.2ft long. How tall…

A: Given, Shadow of the tree = 96 feet Height of the vertical rod = 9 feet Shadow of the rod = 4.2 feet

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: A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 115-ft…

A: Given  2 ft vertical post costs a 20 in shadow  20 inches = 2012 = 53 feetCell phone tower costs 115…

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

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Q: In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time…

A: Let's h is the height of tree.

Q: On a scaled drawing, a building measures 4.5 cm tall. If the scale of the drawing is 25 meters per 2…

A: Given   The building measures 4.5 cm tall on scale .  The scale of the drawing is 25 meters per 2 cm

Q: If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the…

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Q: 8 ft 30°

A: Given :/ Height of Ramp = 8 feet Slope of Ramp = 30° Let, The distance from Ramp from platform  = D…

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 bicycle wheel of radius 24in rotates 570ﾟ how far does the wheel roll

A:

Q: 12. A 4-ft vertícal post casts a 14-in shadow at the same time a nearby cell phone tower casts a…

A: Let the vertical post be AB=4 ft and its shadow is BC=14 inch=1412 ft The cell phone tower be XY and…

Q: A pole that is 3.1 m tall casts a shadow that is 1.63 m long. At the same time, a nearby tower casts…

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Q: A wall 4 ft. high casts a 6 ft. shadow, while a tree casts a 24 ft. shadow. What is the height of…

A: So as we see both the triangle are similar to each other then we use similarity property…

Q: Under gravity, an object falls 16 ft during the first second, 48 ft during the second second, 80 ft…

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Q: A taut telephone wire extends 26 feet from a telephone pole to a stake in the ground 10 feet away…

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Q: im Exam 1. How high is the chimney whose shadow is 28cm long when five-foot gate casts a twelve-foot…

A: Given query is to find the height of the chimney.

Q: A 25 m tall flagpole casts a shadow that is 10 m long. At the same time, a nearby office building…

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Q: An airplane wing casts a shadow on the ramp that is 12 ft. wide at one end, 7 ft. wide at the other…

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Q: At a certain time of the day, a 6 ft man casts a 4 ft shadow. At the same time of the day, how tall…

A: From the given problem the representative diagram shown below:     From the concept of the similar…

Q: A playhouse includes a 15-foot slide, and due to safety regulations, the base of the slide is 12…

A: Here given graph as

Q: A building casts a shadow 26 ft long. At the same time, the shadow cast by a 6 ft person is  1 3…

A: Consider the given informationBuilding shadow = 26 ftPerson height = 6 ftPerson shadow height = 134…

Q: The top and bottom ends of a wind- shield wiper blade are 34 in. and 14 in., respectively, from the…

A: It is given that the top and bottom ends of a wind shield wiper blade are 34 in. and 14 in. So,…

Q: How high is a tree that a 30 ft shadow at the same time a 10 ft pole casts a shadow which is 10 ft…

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Q: A person who is 6 feet tall stands 4 feet from the base of a light pole and casts a 2-foot-long…

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Q: A building 50 ft high casts a 75 ft shadow. sarah cast a 6ft shadow. How tall is sarah in feet?

A: We will use the concept of similarity of two triangles and the fact that the sides of two similar…

Q: In a scale drawing of a house. 2 inches : 5 feet. The actual kitchen of the house will be 17 feet…

A: scale : 2 inches : 5 feet length in drawingactual length =25

Q: To wash a window that is 12 feet off the groundAmanda leans a 13 foot ladder against the side of the…

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Q: a vertical 1-meter stick casts a shadow of 0.4 meters. if a tree casts a shadow of 12 meters at the…

A: To find: x AC = x = Height of the tree  DE       = 1 m long stick   BE       = 0.4m BC       =…

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given The church steeple in the shape of a  regular square pyramid ,the each lateral edge measure 15…

Q: In a circle whose radius is 10cm, a chord is 6cm from the center. How long is the chord?

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.