Answered: A ladder 5m long is leaning on a wall…

A ladder 5m long is leaning on a wall and makes an amgle of 30 degrees with hthe horizontal. What is the vertical height from the top to the ground?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CT: Chapter Test

Problem 21CT: Two wires tether a balloon to the ground, as shown. How high is the balloon above the ground?

See similar textbooks

Related questions

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is…

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

Q: rom a helicopter to a landing padis 65°. If the horizontal distance from the helicopter to the…

A: Given that: Angle of depression = 65°Horizontal distance=1000 ft

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

A: Length of the ladder = 35 foot Base of the ladder is 21 feet from the base of the building. We can…

Q: Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many…

A: Given that Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall.

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle sinθ=side opposite to…

Q: A 6-foot ladder leans against a wall so that the angle between the ground and the ladder is 78 How…

Q: The shadow of a tower standing on a level plane is found to be 30m longer when the Sun's altitude…

A: Solution is given below

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

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 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the…

Q: A 16 foot ladder is placed so that it makes an 80° angle with the ground. How far up the wall does…

A: Ladder is 15.8 foot high up the wall .

Q: The horizontal distance of the ramp is 12 ft and the vertical height of the ramp is 4 ft. What is…

A: The horizontal distance of the ramp is y=12 ft Vertical height of the ramp is 4 ft. Let the length…

Q: With the sun at a certain altitude, it is noticed that a tower casts a shadow 110 feet long at the…

Q: Amari is six feet tall and measure the angle between the horizontal and a bird in the sky to be 40°.…

A: Given: To determine: length AE

Q: In the design of a new building, a doorway is 2.65 ft above the ground. A ramp for the disabled, at…

Q: A 14-foot ladder leans against a wall so that the angle between the ground and the ladder is 33°.…

A: Length of Ladder is 14 foot The angle between the ground and the ladder is 33 degrees. To find how…

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

Q: The height of a radio tower is 650 feet, and the ground on one side of the tower slopes upward at an…

A: Let the angle between the tower and the slope be theta.The angle between the tower and the base is…

Q: A ladder is mounted on a fire truck that is 8 feet above ground. If the maximum length of the ladder…

A: Given: A ladder of maximum length 120 feet is mounted on the fire truck which is 8 feet above the…

Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

Q: • A Statue 10m high is standing on a base of 2m high, If an observer's eye is 1.2 m above the…

Q: An aircraft is climbing at a 30 degree an

A: Given: An aircraft is climbing at a 30∘ angle to the horizontal.

Q: The height of a radio tower is 350 feet, and the ground on one side of the tower slopes upward at an…

A: We have to solve the given problem.

Q: Peter needs a ladder to get to his roof for a repair. In order for the ladder to be the most stable,…

Q: The figure shows a 200-foot tower on the side of a hill that forms a 5° angle with the horizontal.…

Q: The figure shows a 450 foot tower on the side of a hill that forms a 8° angle with the horizontal.…

Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

A: ANSWER IS AS FOLLOWS:

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

Q: A Baguio City Road is inclined to 20° to the horizontal. If a man jogs 500 m along this road, how…

Q: A 12 – meter fire truck ladder leaning on the vertical fence also leans on the vertical wall of a…

A: Given figure is: We have to find BC. From the above figure we have, AC=12 m, AE=4 m, DE=3 m, DE⊥AB…

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

Q: The height of a radio tower is 680 feet, and the ground on one side of the tower slopes upward at an…

A: We have to find the length of wire.

Q: The shadow of a tower standing on a level plane is found to be 30m longer when the Sun's altitude…

Q: A ladder is leaning against the wall and makes a 60° angle with the ground. The base of the ladder…

A: Let 'a' be the length of ladder and 'b' be the height of the building.Since, it is given that…

Q: The height of a radio tower is 450 feet and the ground on one side of the tower slopes upward at an…

Q: If a train climbs at a constant angle of 1.25°, how many vertical meters has it climbed after going…

A: Now draw the figure according to given information

Q: A ladder leaning against the wall makes an angle of 74° with the ground. the base of the ladder is…

Q: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

Q: From a point 65 ft in chrerch, the <'s base 'of the Steeple aund the tep front of <'s of elvation to…

Q: Maria is to weld a support for a 27 m conveyor so that it will operate at a 20 degree angle. What is…

A: Multiply both for length of support

Q: Brian is bringing his boat into a dock that is 9 ft. above the water level. If a 41 ft. rope is…

Q: Find

A: Given that : Diameter = 30 feet Radius = 15 feet Length = 2 feet Inclination = 45 degrees

Q: A 33-ft ladder leand against a building so that the angle between the ground and the ladder is 80°.…

Q: A 12-ft ladder leaning against a house makes a 64° angle with the ground. Will the ladder reach a…

A: Check the ladder reach window sill 10.5 ft up from the base of house.

Q: A ladder is extended from a fire truck as shown in the diagram below. To the nearest foot, how high…

A: He have to find the height of the ladder.

Q: How long should an escalator be if it is to make an angle of 36° with the floor and carry people a…

Q: How long is the ladder which makes an angle of 30° with the side of the house and whose foot is…

A: Given: The ladder makes an angle of 30° with the side of the house and whose foot is 204cm away from…

Q: Does this formula give the correct height for SkyPoint? Use the space below to show clearly how you…

Q: A 20-foot ladder is leaning up against a wall. The angle formed with the base of the ladder and the…

Question

A ladder 5m long is leaning on a wall and makes an amgle of 30 degrees with hthe horizontal. What is the vertical height from the top to the ground?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

John puts the base of a 13-foot ladder five feet from the wall of his house as shown in the figure. How far up the wall does the ladder reach?
Randy wants to attach a 17 foot string of lights to the top of the 15 foot mast of his sailboat, as shown below. How far from the base of the mast should he attach the end of the light string?
Two wires tether a balloon to the ground, as shown. How high is the balloon above the ground?
A guy wire 25 ft long supports an antenna at a point that is 20 ft above the base of the antenna. How far from the base of the antenna is the guy wire secured?
A pine tree casts a shadow of 80 feet next to a 30-foot tall building which casts a 40 feet shadow. How tall is the pine tree?
A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow. How tall is the pine tree?
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
A boat is 6 m below the level of a pier and 12 m from the pier as measured across the water. How much rope is needed to reach the boat?
Considering that the consecutive dials on the natural gas meter rotate in opposite directions, what is the current reading in cubic feet of usage? The initial direction is clockwise.