ne day a teacher took his class of sixth graders outside and challenged them to find the distance between two rocks that could easily be seen, one above the other, on the vertical face of a bluff near the school. After some discussion, the children decided to hold a rod in a vertical position at a point 104' from the base of the cliff, as shown in the accompanying figure. They also decided to mark the points on the rod where the lines of sight of a student standing 4' farther from the cliff and looking at the rocks cut the rod. If the marks on the rod were 25'' apart, what was the distance between the two rocks? (see photo

ne day a teacher took his class of sixth graders outside and challenged them to find the distance between two rocks that could easily be seen, one above the other, on the vertical face of a bluff near the school. After some discussion, the children decided to hold a rod in a vertical position at a point 104' from the base of the cliff, as shown in the accompanying figure. They also decided to mark the points on the rod where the lines of sight of a student standing 4' farther from the cliff and looking at the rocks cut the rod. If the marks on the rod were 25'' apart, what was the distance between the two rocks? (see photo

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: A person is trying to determine the height of a tower in the distance by first measuring the angle…

Q: A woodcutter determine the height of tall tree by measuring a smaller one 125 ft away,then moving so…

A: First draw a diagram that describe this scenario. Let FG be the length of the tall tree. Let DE be…

Q: A mason wants to be sure she has a right corner in a building’s foundation. She marks a point 3 ft…

A: Given, A mason wants to be sure she has a right corner in a building’s foundation. She…

Q: A lighthouse is on a cliff that is 51 m above sea level. The light house is there to warn boats of…

A: A lighthouse is on a cliff that is 51 m above sea level. The light house is there to warn boats of…

Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: This is using Cosine Law. Two pirate ships, A and B, lie 125m apart on the ocean's surface. There…

Q: You are designing a circular, pattern that has two stars on the circle with an arc of 50 degrees…

A: The angle made by the arc AB at the center 'O' of the circle is equal to the angle made at the…

Q: A camera has been set up to record a diver at a diving competition. What is important for those…

A: Given figure is

Q: You are planning a radio tower installation. The tower will be 100 feet tall, and it must be…

A: Explained below

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that, A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

Q: You're helping plan the construction of a rope bridge across a bottomless trench. You chose two…

A: a. Given:Angle between stake A and planned location of the bridge: 85°Angle between stake B and…

Q: what is the height of the house (opposite side of the triangle)?

Q: Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle…

A: Given that,

Q: Kara is standing on the edge of a 15-foot high diving board. Her friend, Sierra, is treading water…

Q: An architect is designing a two-story house that is located at 40°N latitude. The architect wants to…

A: How much roof overhang should the architect provide so that at noon on the day of the summer…

Q: I was in Sydney in 2003 and, while walking across the Sydney Harbour Bridge, I took this photo of…

Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

Q: It is desired to determine the height of a flagpole. Assuming that the ground is level, an…

A: To find: We have to find how tall is the flagpole from its base i.e., the height of the flagpole.

Q: A tree standing vertically on a hill which is inclined at angle of 11 degrees with horizontal, cast…

Q: You are a secret agent trapped at the top of a tall building. To escape, you decide to slide down a…

A: The objective of this question is to find the length of the zip line. We can use trigonometry to…

Question

One day a teacher took his class of sixth graders outside and challenged them to find the distance between two rocks that could easily be seen, one above the other, on the vertical face of a bluff near the school. After some discussion, the children decided to hold a rod in a vertical position at a point 104' from the base of the cliff, as shown in the accompanying figure. They also decided to mark the points on the rod where the lines of sight of a student standing 4' farther from the cliff and looking at the rocks cut the rod. If the marks on the rod were 25'' apart, what was the distance between the two rocks? (see photo)

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

You are standing on top of a cliff 500 ft. above the ocean looking out at the water. You see a whale surface 3000 ft. from the base of the cliff. What is the angle of depression from your vantage point to the whale? Write your answer using degrees rounded to the nearest hundredth.
An airplane is heading north at an airspeed of 600 km/hr, but there is a wind blowing from the southeast at 80 km/hr. The plane will end up flying degrees off course. The plane's speed relative to the ground will be km/hr. Give your answers accurate to the nearest tenth.
In the final seconds before the plane landed in the Hudson, the pilot slowed the plane. While the plane slowed it climbed from 210 ft at 3:29.58 to 370 ft at 3:30.17. An elevation change of 160 ft over a distance of 2000 ft. What was the angle of ascent for the plane (e) as it slowed? Round your answer to the nearest hundredth (second decimal place).
An observer (O) is located 500 feet from a school (S). The observer notices a bird (B) flying at a 39° angle of elevation from his line of sight. How high is the bird flying over the school? You must show all work and calculations to receive full credit. A right triangle is shown with one leg measuring 500 and another leg measuring h, with an angle across from it measuring 39 degrees.
. A 450 ft tall tower is built on the side of a hill that has a slope of 6◦ from horizontal. There are two support wires that connect the top of the tower to points 100 ft up hill and downhill from the base of the tower that help hold the tower perfectly vertical. (a) Draw a diagram of this scenario. Label the two angles that the base of the tower makes with the hillside with their measurements. (b) How long are each of the support wires? Round your answers to the nearest tenth. SHOW WORK thank you inadvance