Washington Monument 555 ft -1320 ft-

Q: measure a stone face carved on the side of a​ mountain, two sightings 650 feet from the base of the…

A: Given query is to find the height of the stone face using triangle.

Q: The tallest television transmitting tower in the world is in North Dakota. From a point on level…

A: The given information can be diagrammatically represented as shown below:

Q: A Janitor is having a short nap in the shade under a tree that is 100m from the base of the tower.…

A: Let's find.

Q: How tall is a building if you are 100 feet from the base and the angle of elevation is 60°

A: Tanθ = PB where P is perpendicular or height of the triangle and B is base of a triangle.

Q: The base of a 175-foot cell phone tower is 42 feet from point A. Determine the measure of the angle…

A: The base of a 175-foot cell phone tower is 42 feet from point A. Determine the measure of the angle…

Q: From the top of a 230-meter-tall building, an observer measures the angle of depression of a bicycle…

A:

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: Given, To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at…

Q: How to measure the degree of an angle?

A: Given: To measure the degree of an angle.

Q: You are skiing down a mountain with a vertical height of 1245 feet. The distance from the top of the…

A: From the trigonometric ratios we know that Sinθ=HeightHypotenus

Q: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

Q: A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of…

A: According to the question the figure is,

Q: A flagpole casts a shadow that is 15 feet long. The angle of elevation of the sun at this time is 40…

A: Drawing a figure to represent the given data will simplify the question for us. After that we will…

Q: A guy wire to a tower makes a 69 degree angle with level ground. At a point 33 feet farther from the…

A: Draw the given scenario as follows.

Q: The height of a tower is 175feet and it casts a shadow of 78 feet. find the angle elevation fUM the…

A: The height of a tower is 175 feet and it casts a shadow of 78 feet.

Q: The shadow of a vertical tower is 67.0 ft long when the angle of elevation of the sun is 33.0°. Find…

A:

Q: You hike 400 feet up a steep hill that has a 25° angle of elevation as shown in the diagram. 400 ft…

A: Given, To Evaluate, a, b and m ∠B

Q: A tree standing vertically on level ground casts a 127 foot long shadow. The angle of elevation from…

A: Please refer the attached image for complete solution.

Q: A flagpole casts a 42-foot shadow. If the angle of elevation of the sun is 54.4, what is the height…

A: The length of the shadow of the flagpole is = 42 foot The angle of elevation is = 54.4o The height…

Q: The tallest television transmitting tower in the world is in North Dakota. From a point on level…

A: The tallest television transmitting tower in the world is in north Dakota. From a point on the…

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: surveyor measures the height of an ad billboard on a skyscraper by walking 45 ft. away from the…

A:

Q: Find the angle of elevation of the sun when a tree that is 8 feet tall casts a shadow that is 10…

A: The height of the tree, h = 8 feet The length of the shadow, l = 10 feet To evaluate : The value of…

Q: A boy visiting New York City views the Empire State building from a point on the ground, A, which is…

A: Explanation and solutions is given below....

Q: From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the…

A:

Q: A 800-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: To find the height of a communication tower , from the given data.

Q: A football lands at the edge of the roof of your school building. When you are 25 feet from the base…

A:

Q: The tallest television transmitting tower in the world is in North Dakota. From a point on level…

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

Q: A tower that is 143 feet tall casts a shadow 166 feet long. Find the angle of elevation of the sun…

A: To find the angle of elevation

Q: 1. A6-foot-tall man is standing 50 feet from a flagpole. When he looks at the top of the flagpole,…

A: The answer is found in step-2

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

A: Since, a ladder is leaning against the waall making an angle of 74° withthe ground.Alos, we have…

Q: Ahelicopter hovers 975 feet above a small island. The figure shows that the angle of depression from…

A: detailed solution is given below

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

Q: Disney's Tower of Terror ride in Walt Disney World is 199 feet tall. If Josh is standing 132 feet…

A:

Q: . A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

A:

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

Q: A 109 ft. tree casts a shadow that is 130 ft. long. What is the angle of elevation of the sun

A:

Q: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: he angle of elevation from a point on the ground to the top of the 225-foot cell phone tower is 65…

A: Given the length of tower is 225 foot which is also perpendicular of triangle  angle is 65 degree…

Q: A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the…

A: tan∅=h/base of the mounment. tan78=h/118

Q: The angle of depression from the top of the school to the base of the flagpole in front of the…

A:

Q: If we can measure that the tree is 30 feet tall. and you are standing 45 feet away from the tree,…

A:

Q: measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of the…

A: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

Q: A pole cast a shadow 15 meters long when the angle of elevation of the sun is 61°. If the pole is…

A:

Q: A man stands near an antenna tower and observes the angle of elevation to the top of the tower is…

A: Given: According to the question, the figure will be:

Q: A person is standing 118 feet from the base of the Washington Monument. The person measures the…

A:

Q: At a point 500 miles north of a ship, the shoreline runs east and west. West of that point, the…

A:

Q: A surveying team determines the height of the hill by placing a 12-foot pole at the top of the hill…

A: Consider the surveying team determines the height of the hill by placing a 12-foot pole at the top…

Q: A tower that is 110 feet tall casts a shadow 161 feet long. Find the angle of elevation of the sun,…

A: Given that  A tower that is 110 feet tall casts a shadow 161 feet long. To Find the angle of…

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.