An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the ladder is 4m from the ground. When the angle of elevation of the ladder is 75°, how high up the truck will it reach?

An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the ladder is 4m from the ground. When the angle of elevation of the ladder is 75°, how high up the truck will it reach?

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 10CT: The base of the ladder in the figure is 6 ft from the building, and the angle formed by the ladder...

See similar textbooks

Related questions

Q: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

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: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: An air traffic controller on top of a 300-foot airport tower looks up and sees a ballon.The angle of…

Q: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A 14-ft ladder leans against a building so that the angle between the ground and the ladder is…

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

Q: A 20 foot ladder leans against the a house forming a 75 angle with the house. Exactly how far is the…

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation from a ship to the…

Q: The angle of elevation from an observer to thetop of a building is 35°. If the observer is 155…

A: To height of the building is calculated by measuring the distance from the object and the…

Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

Q: A 32-foot tall Tadder rests against a vertical wall. If the top of the ladder reaches a point 18…

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

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 25-foot ladder leans up against a house at an angle of 65°. How high up on the house does the…

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios 44.83 inches high the wood plank reach up to the side of the building.…

Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: A 28 ft ladder leans against a building so that the angle between the ground and the ladder is 78…

Q: A mop is inclined against the wall, creating a 40 degree angle, along the floor. How far does the…

Q: A 24 ft ladder leans against a building so that the angle between the ground and ladder is 85…

A: Given : A 24 ft ladder leans against a building so that the angle between the ground and ladder is…

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°. How far…

Q: A 36 -ft ladder leans against a building so that the angle between the ground and the ladder is 83…

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: A ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

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: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: A house is 500 feet high. At a certain distance away from the house, an observer determines that the…

A: Given that, A house is 500 feet high. At a certain distance away from the house, an observer…

Q: The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: a hot air balloon at a 35° angle of elevation. 7) Lee, on the ground, looks up at Bruce If lee and…

Q: An 18-foot ladder leans against a building so that the angle between the ground and the ladder is…

Q: A 43.0-m guy wire is attached to the top of a 31.6-m antenna and to a point on the ground. How far…

Q: 1. A 75-feet extension ladder rests on top of a hook and ladder truck with its base 11 feet from the…

Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 75°.

A: FOLLOW next step

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

Q: From a point on the ground 100 m from the foot of a cliff, the angle ofelevation of the top of the…

A: Given that from a point on the ground 100m from the foot of a cliff, the angle ofelevation of the…

Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

Q: A 8-ft ladder leans against a building so that the angle between the ground and the ladder is 69 How…

A: Solve the following problem

Question

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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

Similar questions

The base of the ladder in the figure is 6 ft from the building, and the angle formed by the ladder and the ground is 73. How high up the building does the ladder touch?
Find the size of A to the nearest second?
To unload groceries from a delivery truck at the Piggly Wiggly Market, an 8-ft ramp that rises 4 ft to the door of the trailer is used. What is the measure of the indicated angle D?
The central angle corresponding to a circular brake shoe measures 60. To two decimal places how long is the curved surface of the brake shoe if the length of the radius is 7 in.
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?
On the basis of appearance, what type of angle is shown?