A man wants to know the height of the tower. What he did was from point A on the ground he observed that that the angle of elevation is 38°. He then moved away from the tower 80 meters from his original position, and he observed that the angle of elevation of the top of the tower is at 20°. Find the height of the tower.

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

A:

Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

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

A: We have to find the height of stone face.

Q: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

A:

Q: surveyor wants to find the height of an inaccessible cliff so she takes measurements at point A,…

A:

Q: There is a lightning rod on the top of a building. From a location 250 feet from the base of the…

A: 250 feet from the base of the building, the angle of elevation to the top of the building is…

Q: From the ground 30 feet away from a tree, the angle of elevation to the top of tree is 38˚ Find the…

A: Explanation of the answer is as follows

Q: In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a…

A: Definition used -                           sinθ =OppositeHypotenuse

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: for the upper triangle, use the tan function  tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

Q: The shadow of a 60 foot tall pole is 100 feet long. What is the angle of elevation from the end of…

A:

Q: To estimate the height of a tree, one person positions himself due south of a tree and the other…

A: C = position of tree A = position of one man in East B = position of one man in North AB = 82 feet…

Q: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

A:

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: To measure a stone face carved on the side of a​ mountain, two sightings 850 feet from the base of…

A: Given that: Angle of elevation at the bottom of the face=25°Angle of elevation at the…

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Given: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132…

Q: In order to estimate the height of a building, two students stand at a certain distance from the…

A:

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

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: The top of an 8-foot ladder leans against a wall at a height of 7 feet. What angle (degrees) does…

A: Length of the ladder is 8 foot and length of the wall is 7 feet. We have to find the angle between…

Q: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

A:

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: What is the angle of elevation to the kite if a kite is 40 feet off the ground and the string…

A: Consider the diagram drawn as per the given information, here the objective is to find the angle of…

Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

A: We have to estimate the height of the mountain.

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

A:

Q: The angle of depression of a stone on the ground from the top of a tower is 45. If the stone is at a…

A: According to problem   distance from tower and stone is 120 meters angle of depression θ=45°

Q: Gina is standing near a building and notices that the angle of elevation to the top of the building…

A: Let 'h' ft be the height of the building. Let the starting position of Gina be A.  She moved 78ft…

Q: Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

A: Given, Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft…

Q: at the same basketball game during halftime, the home team's mascot has a t-shirt launcher in which…

A:

Q: From a point on level ground 30 yards from the base of a building, the angle of elevation is 38.7°.…

A:

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

Q: A person standing on the street looks up to the top of a building and finds the angle of elevation…

A: Given that the person is standing near the building

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50∘angle with the ground. How far up the…

A:

Q: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

A: First we draw a rough sketch from the given information.Let height of the mountain is h.

Q: The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff…

A: The given image is

Q: O A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of…

A: Solution: The objective is to find the height of the tower

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: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

A:

Q: A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

A:

Q: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

A:

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

Q: A curious math student standing on the roof of a building 36 feet above the ground decides to…

A:

Q: A 75-ft tall masthead of a tugboat is located 45 ft. away from the bow. If the top of the masthead…

A:

Q: After a wind storm, you notice that your 16-foot flagpole may be leaning, but you are not sure. From…

A: First assume flag pole is not leaning. Consider right angle triangle ABC, A represents the…

Q: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

A:

Q: 1. Stephanie knows that when she stands 123 feet from the base of the flagpole the angle of…

A:

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.