12. Firefighting A firefighter on the ground sees fire break through a window near the top of the building. The angle of elevation to the windowsill is 28°. The angle of elevation to the top of the building is 42°. The firefighter is 75 ft from the building and her eyes are 5 ft above the ground. What roof-to-windowsill distance can she report by radio to firefighters on the roof? 42° 28 75 ft

Q: 11. Adrian is flying a kite. He is holding the end of the string at a distance of 1.5 m above the…

A:

Q: 12) The length of a tree's shadow is 20 feet when the angle of elevation to the Sun is 40°. How tall…

A:

Q: 1. Anthony wished to find the width of a river. He observed a tree directly across the river on the…

A:

Q: 13) From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is…

A: Distance ST=300m Angle,Alpha=5° To find ,Height,LT?

Q: Jerry stands at a distance from the base of a 30 foot flagpole and views its top at an angle of 42°.…

A: Topic:- trigonometry in right angle triangle  Note:- as per our guideline if more than one question…

Q: 8. A ship is sailing toward a 50-m tall lighthouse. The angle of elevation from the ship to the top…

A:

Q: 9. An antenna is on top of a TV transmission tower at a point 236m from the base of the tower the…

A:

Q: 12. A tower is located 327 feet from a building in the figure shown below. A person from the second…

A: In the question it is asked to calculate height of tower from the building with angle of elevation…

Q: 4. Two friends on the same side of a 10-foot fence measure the angle of elevation to the top of the…

A:

Q: 20. A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. If the angle of…

A: Use trigonometric ratio to find height of tree

Q: The angle of elevation from a point on the ground to the top of a pyramid is 32°30​'  The angle of…

A: The given information can be represented by the following figure. Let AB be the pyramid with height…

Q: radio tower is located 425 feet from a building. From a window in the building, a person determines…

A:

Q: From the top of a lighthouse 18m high, the angle of depression to sight a boat is 4°. What is the…

A: Here we have use the concept of trigonometric ratio

Q: radio tower is located 375 feet from a building. From a window in the building, a person determines…

A: Given, A radio tower is located 375 feet from a building. From a window in the building, a person…

Q: 4. A fire hose stretches from the ground to a window with an angle of elevation measuring 45 degree.…

A: Draw a schematic diagram of give question.

Q: Part A,B, and C Photo #1: Question Photo #2: Answer Key

A:

Q: A surveyor measured the angle of elevation of a flat spire as 15 degrees from a point on horizontal…

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Q: The angle of elevation from a point on the ground to the top of a tower is 35° 16'. The angle of…

A: From the given problem, the representative diagram as is shown below. Let the height of the tower…

Q: Nick stands 23 feet away from a highway sign and measures the angle of elevation to its top to be 60…

A: By using properties of triangle and trigonometric ratio.

Q: 10. You are standing on top of a small building that is 12m high. The angle of elevation to the top…

A:

Q: A surveyor measures the top of a lighthouse 70 ft. Away from him. His angle-measuring device is 4…

A:

Q: 14. A kite is being flown using 150 yards of string. The kite has an angle of elevation with the…

A: topic - trigonometric ratios

Q: 26. The angle of depression of a television tower to a point on the ground 36.0 meters from the…

A: Given the angle of depression which is 29.5°

Q: 4. You are on vacation sight-seeing at the coast and climb up to the top of a 50-meter light house.…

A: Given that: Height of light house, h=50 mAngle of delcination, ∅=17.5°.

Q: woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of the…

A:

Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

A:

Q: 14. A forester is 50 meters from the base of a tree and measures the angle between the ground and…

A:

Q: 2. In the morning, you find that a building casts a 300 foot shadow to the west. The angle of…

A:

Q: Matthew parks his car between Karen’s and Patrick’s apartment buildings. The car is 46 m in front of…

A: The situation described is drwn in below image÷

Q: . From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground…

A:

Q: Two dormitories are located on a campus. The (direct) distance between their roofs is 47.2 meters.…

A: We will find the height of each building and the viewing angle as following.…

Q: 1. A surveyor wants to find the distance from point A on one side of a small lake to point B on the…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: 7. You are standing 63m away from the base of a building. You measure the angle of elevation formed…

A:

Q: The angle of elevation from a point on the ground to the top of a tower is 38° 41'. The angle of…

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Q: 11. Reed is trying to find the height of a building. From one position the angle of elevation from…

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Q: Meteorology A meteorologist measures the angle of elevation of a weather balloon as 41°. A radio…

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Q: 10. From a window 30 feet above the street, the angle of elevation to the top of the building across…

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Q: 12) The angle of elevation to the top of empire state building is found to be 60° from the ground at…

A:

Q: A water tower is located 322 feet from a building. From a window in the building, an observer notes…

A: We can find the answer to both the question as below.

Q: 11) A roller coaster makes an angle of 52° with the ground. The horizontal distance from the crest…

A: Given triangle is right angle triangle.

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: 20. To measure the height of Lincoln's caricature on Mt. Rushmore, two sightings 800 feet from the…

A: Given:

Q: To estimate the height of a mountain, two students find the angle of elevation from a point (at…

A:

Q: 46. BACKPACKS Sultan has a rolling backpack that is 4 feet tall when the handle is extended. When he…

A:

Q: The angle of depression from the light at the top of a lighthouse to a ship at sea 2.5km from the…

A: Given:  The angle of depression from the light at the top of a lighthouse to a ship at sea 2.5km…

Q: A radio tower is located 450 feet from a building. From a window in the building, a person…

A:

Q: 7. Jennifer is flying a kite. She is looking up at the kite at an angle of elevation of 39°. If the…

A:

Q: _3. At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of…

A:

Q: 3. An observer in the street notes that the angle of elevation to the top of the building is 44°…

A: First we draw a diagram. Let AB is the height of the building.  First we use triangle ABC then we…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.