A guy.rope on a tent is 1.5 m long. One end is fixed to the top of a vertical pole and the other is pegged to the ground. If the pole is 1.2 m high, how far is the pegged end of the rope from the base of the flagpole?

A guy.rope on a tent is 1.5 m long. One end is fixed to the top of a vertical pole and the other is pegged to the ground. If the pole is 1.2 m high, how far is the pegged end of the rope from the base of the flagpole?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

See similar textbooks

Related questions

Q: Lorrie places a 37-foot ladder against the side of the building with the bottom of the ladder 12…

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

Q: . An aircraft is vertically above a point which is 10 km West and 15 km North of a control tower. If…

Q: How far from the base of a building must a 25-ft ladder be placed so that it reaches 20 ft up the…

A: We will use Pythagoras theorem to find solution to the problem .

Q: The front wheel of a tricycle has a circumference of 56 inches, and the back wheels have a…

A: topic - lowest common multiple 56=2*2*2*7 24=2*2*2*3 LCM(56,24)=2*2*2*3*7=168

Q: The scale on a set of architectural drawings for a house is 1 3/4 inches = 2 feet. If the master…

Q: A wire is stretched from the top of an 8 foot pole to a bracket 5 feet from the base of the pole.…

A: Pythagorus theorem: Hypotenuse2=Perpendicular2+Base2

Q: Suppose a certain baseball diamond is a square 70 feet on a side. The pitching rubber is located…

A: Given that, the value of the side is 70 feet and the pitching rubber is located 46.5 feet from home…

Q: A pole that is 3 m tall casts a shadow that is 1.4 m long. At the same time, a nearby tower casts a…

A: We can answer the question as below.

Q: The apothem length of a regular pentagon is approximately 3.44 cm. What is the approximate length of…

A: For a regular polygon with n sides, with side length s, length of apothem is given by a=s2 tan πn.…

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…

Q: If you place a 18 ft. Ladder 3 ft. From the base of the wall, how high up the wall will it reach?

A: Let height upto which ladder will reach= H Length of the ladder= 18 ft. Distance of base of wall…

Q: Connor decides to increase the number of sides of a random polygon so that the sum of its interior…

Q: A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Shaniece grabs…

A: A 50 feet ladder set against the side of the house so it reaches up 48 feet. If we make a triangle…

Q: A 12-ft ladder is used to reach the roof of a garage with a height of 10 ft. How far is the bottom…

Q: 3. Gary and Carolyn plan to build the deck shown. 10 ft –12 ft- 10 ft a) Find the total floor space…

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: How long is the altitude to the base of an isosceles triangle if the sides of the triangle are 13,…

A: Given triangle is an isosceles triangle with sides of triangle are 13, 13, 10.

Q: 4. To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm…

Q: If a right triangle has a hypotenuse that measures 31.1 m, and one of the legs measures 19 m, how…

A: We have to solve the problem by pythagorus law.

Q: A building that is 60 ft long would be shown as what length on a blueprint if the scale is 1/4…

A: Actual height of building =60 ft Let x (in inches ) be the height of building in blue print Also…

Q: if a ship deviate from course by 10 degree sand 15 miles travel? How many miles will away from route…

Q: A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the…

A: Given, A ladder is leaning against the side of a 10m house. If the base of the ladder…

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: Circle O has a diameter of length 20 cm. Chord AB has length 12 cm, and chord CD has length 10 cm.…

A: Take the right angle triangle OPA and apply the paythagours theorem,…

Q: Suppose a right triangle has a leg that measures 3 and a hypotenuse that measures 12. What is the…

A: A right triangle has a leg that measures 3 and a hypotenuse that measures 12

Q: Suppose a right triangle has a leg that measures 5 and a hypotenuse that measures 10. What is the…

A: One Side(B) of right triangle is = 5 Hypotenuse is = 10 Third side (P) =?

Q: A car’s wheels are 28 in. in diameter. How far (in mi.) will the car travel if its wheels revolve…

A: We require the following formula for the given question: Circumference of wheel = Here, d =…

Q: A triangle has sides with lengths of 6 cm 8 cm 10 cm how long will the hypotenuse be

A: A triangle has sides with lenght of 6 cm 8 cm and 10 cm then we find how long will the hypotenuse…

Q: A boat is 6 m below the level of a pier and 12 m from the pier as measured 12 m across the water.…

A: Consider the vertical distance between the pier and boat be 6 m and horizontal distance in boat and…

Q: A rope that is 29 ft. long connects the top of a pole To the ground. The rock touches the ground 21…

Q: before it hits the ground). If an object fell 75 ft in 4 seconds, how far will

A: Given query is to find the distance fallen in 8 seconds.

Q: A statue is 52 cm tall. When its shadow is 68 cm long, the shadow of a certain tree is 30 m long.…

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft.

A: Figure is given by

Q: Find the length of side x, leaving your answer as an exact value. 60° 30 V3

A: Given, A right angle triangle with angles are 30° , 60° and 90° Side opposite to angle 90° is…

Q: A boy who is 4 ft. tall stands in front of a tree that is 24 ft. tall. If the tree casts a shadow…

A: Height of the tree = 24 ft Height of boy = 4 ft Length of shadow casts by the tree on the ground =…

Q: How long must the brace be on a closet rod holder if the vertical side is 15 cm and the horizontal…

Q: How far from the base of a building must a 20-ft ladder be placed so that it reaches 16 ft up the…

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

Q: 5. If both legs of a right triangle measure 6 inches, how long is the hypotenuse? Round your answer…

A: Given:- 5.If both legs of a right triangle measure 6 inches. 6.If a right triangle has legs…

Q: The corresponding sides of two similar triangles are 7 cm and 8 cm. What is the ratio of their…

Q: According to modern science, Earth is about 4.5 billion years old and written human history extends…

A: the entire history of Earth is represented with a 10-meter-long timeline, with the birth of Earth…

Q: 4 m 68

A: The figure is given by To evaluate : The distance between the wall and the bottom of the ladder

Q: A welder has four pieces of scrap steel angle of lengths 3 1 4 ft, 2 3 8 ft , and 4 3 16 ft . If…

A: Lengths of the scrap steel angle are 314 ft, 238 ft and 4316 ft

Q: A circle is inscribed in a square. If the perimeter of the square is 32 cm, find the circumference…

A: Answer is given below

Q: The outer circle of the driveway has a diameter of 30 feet and the inner circle of the driveway has…

A: Area of circle

Q: A hot-air balloon is held in place by the ground crew at a point that is 21 ft from a point directly…

A: The length of the rope of the balloon is 29 feet. The distance between the balloon's basket and…

Q: The length between the bases on a baseball field is 90 feet. The scale drawing shows the distance…

A: Given The length between the bases on a baseball field is 90 feet. The scale drawing shows the…

Q: A central angle of a circle subtends an arc of 14π/3 cm. If the measure of the central angle is 70…

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

Question

th 10 m is tied to the top of a vertical flag pole.
When the rope is tight it can touch the ground at a distance of 4 m from the
base of the pole. Howw tall is the flagpole? Give your answer correct to the
%3D
nearest cm.
Height of the flag pole = 90Ocm
A guy.rope on a tent is 1.5 m long. Öne end is fixed to the top of a vertical
pole and the other is pegged to the ground. If the pole is 1.2 m high, how
far is the pegged end of the rope from the base of the flagpole?
Ron's dad
says
that Ron must not walk on the lawn. The lawn is a rectangle
with sides of lengths 10 m and 16 m. When his dad is looking, Ron walks
from his house to the gate by'walking along two edges of the lawn. When
his dad is not looking, Ron walks diagonally across the lawn.
How much further does Ron have to walk to get from the house to the ga
' Giye your answer to a suitable level of accura

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Pythagoras' Theorem$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid brass casting in the shape of a right circular cone has a base diameter of 4.36 inches and a height of 3.94 inches. Find the weight of the casting. Brass weighs 0.302 pound per cubic inch.
The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a. Compute the area of the piece to be cut. Round the answer to the nearest square millimeter. b. After cutting the piece, determine the percentage of the plate that will be wasted.
When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A cylindrical 1.000-liter vessel has a base diameter of 5.00 centimeters. How high is the vessel?
A piece in the shape of a frustum of a pyramid with regular octagon bases is 23.84 centimeters high. The length of each side of the larger base is 8.17 centimeters, and the length of each side of the smaller base is 6.77 centimeters. If a side (s) of a regular octagon is known, its area (A) can be computed by the formula A4.828s2 . Determine the volume of the piece. Round the answer to the nearest cubic centimeter.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A vessel in the shape of a right circular cone has a capacity of 0.690 liter. The base diameter is 12.30 centimeters. What is the height of the vessel? One liter contains 1000 cubic centimeters.
The carbon content of machine steel for gages usually ranges from 0.15% to 0.25%. Round the answers for a and b to 2 decimal places. a. What is the minimum weight of carbon in 250 kilograms of machine steel? b. What is the maximum weight of carbon in 250 kilograms of machine steel?