The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff? 25. 25 ft Drawing is not to scake.

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

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: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

A:

Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A:

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

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

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 19 degrees…

A:

Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° ground. What's the…

A: Given query is to find the distance between base of the ladder and the wall.

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Given,          The ground to the top of a 45-ft tree from 65 feet away.

Q: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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

Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: A campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 65∘∘. How tall…

A: given: The angle of elevation to a nearby tree from a point on the ground is measured to be . we…

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

Q: A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be…

A: From the given problem the representative diagram is as shown below.

Q: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

A:

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

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: 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: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A building 210 feet tall casts a 50 feet shadow. If a person looks down from the top of the…

A:

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: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

A:

Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

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: Find the angle of depression from the top of a lighthouse 400 feet above water level to the water…

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: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

Q: A 60-foot zip line from a tree to the ground forms a 45° angle of elevation from the ground. How…

A: According to the question,   Draw the diagram of the given situation,   Let x = the height of the…

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: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

Q: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation…

A: Given;  Final height is 6 feet. The ramp is the hypotenuse and the elevation is the short leg of a…

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

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

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: Janelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground. How…

A: Here AC = length of ladder = 16 foot AB = wall BC = ground m∠ACB = 61° We have to find the length of…

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

A: Given that, a radio tower is located 425 feet from a building and the angle of elevation to the top…

Q: If you stand 100 feet from the gym, how tall would it be if the angle of elevation feet to the top…

A: Lets assume that the gym is x feet tall . Drawing the Diagram as per  the Question , Let OA…

Q: Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the ground. How…

A: topic - trigonometric ratios

Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to the…

A:

Q: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

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…

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.