A man standing in a lighthouse tower spots a ship at sea. The lighthouse tower is 30 feet tall, and the base of the tower is 300 feet from the ship. What angle is formed where the man is standing? Draw a picture to prove the answer

Q: Julia lies down on the grass in a park and begins reading a book. She is 30 meters away from the…

A: let AB be the TreeThen tan 35°=ABBCtan 35°=AB30

Q: a man is standing near a radio station antenna observes that the top of the antenna is 54°. walks 60…

A:

Q: A carpenter is preparing to put a roof on a garage that is 20 feet by 40 feet by 20 feet. A steel…

A:

Q: 9. Nat is flying a kite outside but gets a little hungry. They anchor the kite to the ground by…

A:

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

A:

Q: The angle of elevation from a point on the ground to the top of a pyramid is 20°20​' The angle of…

A: Let the height of the pyramid be 'h' & the distance from the point where angle of elevationis…

Q: The angle of depression from one side of a lake, measured from a kite 2500 ft. above the lake is 43…

A: Given : The angle of depression from one side of a lake, measured from a kite 2500 ft. above the…

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

A:

Q: I am standing 50 feet away from the flagpole outside of Southmith High School. I look up to the top…

A: I am standing 50 feet away from the flagpole outside of Southmith High School. I look up to the top…

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: Trigonometry is a branch of mathematics that studies relationships between side lengths and angles…

Q: 4. A four-meter ladder leans against a wall. If the foot of the ladder makes an angle of 70° with…

A:

Q: You are flying a kite outside on a windy day. You have 80 foot string and are flying your kite at an…

A: SOLUTION-

Q: You are hiking along a river and see a tall tree on the opposite bank. You measure the angle of…

A:

Q: A Albert and Belle are part of a scientific team studying thunderclouds. The team is about to launch…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

A:

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: a rock dropped 182 feet straight down, from the learning tower. it lands 14 feet away from the base…

A: Given,A rocket dropped 182 feet straight down from the learning tower.it lands 14 feet away from the…

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

Q: How far up the tree is the rope located? A 13-ft rope around the magnolia tree in the yard if tutu…

A: We will find the height of the rope tied in the tree from the ground.

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: University of Louisville is currently winning the football game against the University of Kentucky.…

A:

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: A pine tree growing on a hillside makes a 76°angle with the hill. From a point 83 feet up the​ hill,…

A:

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

A:

Q: Disney’s tower of terror ride is 199ft tall. If josh is standing 132 ft from the base of the ride,…

A:

Q: Charlie is swimming in the ocean and notices a coral reef below her. The angle of depression is 55∘…

A: We will use trigonamentric ratio to find it.

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

A:

Q: Cleo is looking at an airplane flying at an altitude of 3 miles. Her angle of elevation is 37…

A: The explanation of answer as follows

Q: 72.4-foot rope from the top of a circus tent pole is anchored to the ground 43.4 feet from the…

A: Given query is to find the angle made by rope with the pole.

Q: The captain of a small boat measures and deteremines that the angle of depression from the top of a…

A:

Q: A ranger is at the top of a 200 foot lookout tower located on a flat plain. She spots a fire at an…

A:

Q: ramp has a height of 5.8 feet and an angle of 80°.  A sketch of the ramp is shown.   What is the…

A:

Q: A hot air balloon is attached to the ground by a cable that is 200 meters long.The cable makes a 57°…

A: Consider the diagram given below shows the situation of the problem, Let the height of the ballon…

Q: From the top of a tree 60 feet, high, the angle of elevation of the top of a vertical pole is 14…

A:

Q: The two boats 15 nautical miles apart, subtends an angle of 100degrees from a lighthouse 7 naut. mi.…

A: Let d denote distance between the lighthouse and other boat. Thus, using cosine law of triangles:

Q: 60-foot ladder leans against a wall so that the base of the ladder is 9 feet from the base of the…

A: The angle of elevation is an angle that can be formed between the horizontal line and the line of…

Q: (WASSCE) A woman looking out from the window of a building at a height of 30 m, observed that the…

A: Given:

Q: Two cars drive on roads that form a 75° angle. One drives at 32mph and the other at 40mph°. Fine the…

A:

Q: A surveyor who is measuring the tallest tree in a park is 175 ft from the tree. His angle-measuring…

A:

Q: The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If…

A: Consider that the angle of depression from top of a flag stick to golf ball is 24° and length of…

Q: A​ blimp, suspended in the air at a height of 400​ feet, lies directly over a line from a sports…

A: Given: - A​ blimp, suspended in the air at a height of 400​ feet, lies directly over a line from a…

Q: how do i solve/ what is the answer to this problem? “as shown in the diagram below, a ladder 12 feet…

A: Given,  A ladder of 12 ft lean against the wall making an angle 72° with the ground  We have to…

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

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

Q: An observer at Airport A sees a plane 35 miles away. Airport A is 50 miles from Airport B. From…

A:

Q: proper angle for a ladder is about 75∘75∘ from the ground. Suppose you have a 6 foot ladder. How far…

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

Q: A toy boat is seen floating down a river. The toy boat is first spotted 55 feet away. 6 minutes…

A:

Q: An escalator lifts people to the second floor, 25 ft above the first floor. The escalator rides at a…

A: Given  The escalator rides at a 30 angle

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 13 degrees…

A: Using trigonometry, tan 13 = h/1355 h = 1355*tan 13  h = 1355* 0.23 h = 312.826 meters

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.