A hot air balloon is attached to the ground by a cable that is 200 meters long.The cable makes a 57° angle with the ground How many meters above the ground is the balloon of there is no slack in cable

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

A:

Q: The tower is 700 meters high. Suppose a building is erected such that the base of the building is on…

A: Given that height of tower = 700m. The angle of elevation from the top of the building to the top of…

Q: A 4m flag pole is not standing up straight. There is a wire attached to the top of the pole and…

A: Given information is: A 4m flagpole is not standing up straight. There is a wire attached to the…

Q: Two men on the same side of a tall building whose the angle of elevation to the top of the building…

A:

Q: 15.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the…

A:

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: 3) A ramp is to be built from the ground to the back of a semi truck. The bed of the truck is 1.3…

A: According to the guidelines issued by the company we are supposed to answer only first question.…

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: Two scuba divers are 20m apart below the surface of the water. They both spot a shark that is below…

A:

Q: 75-feet extension ladder rests on top of a hook and ladder truck with its base 11 feet from the…

A:

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Kurt spots a bird sitting it the top of a 40ft   tall telephone pole.…

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

A:

Q: 2) A hiker decides to go for a walk in the woods. She walks 3 miles south of the cabin, then turns…

A:

Q: Kaila is flying a kite whose string is making a 70 degree angle with the ground the kite string is…

A:

Q: 6. Two ropes are attached to the top of a flag pole and nailed down in the grass. Jim is looking at…

A: Two ropes attached to the top of the flag poleThe rope on the left of the flagpole is 12 m and makes…

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: 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: Yvette and Zach are hiking the same trail and both see a mountain in the distance ahead of them.…

A:

Q: At point A,the angle of elevation of a marathoner off to the sun is 75 degree. Find the distance…

A: Topic:- trigonometry

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

A:

Q: A flagpole 3m high stand at the top of pedestal 2m high located at one side of pathway. At opposite…

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 5 ft 9 in. tall stands on a sidewalk that slopes down at a constant angle. A vertical street…

A: First we find angle Then use sine law

Q: The tower is 550 meters high. Suppose a building is erected such that the base of the building is on…

A: Given: The height of the tower is 550m. The angle of elevation from the top of the building to the…

Q: The leaning tower of Pisa was originally perpendicular to the ground and 179 feet tall. It now leans…

A:

Q: A flagpole 95.6 ft tall is on the top of a building. From a point on level ground, the angle of…

A:

Q: Two hikers are at opposite sides of a mountain, ready to begin their hike. The height 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: Kaila is flying a Kite whose string is making a 70 degree angle with the ground the kite string is…

A: There are 2 probable positions of Kaila .

Q: A flagpole 95.4 ft tall is on the top of a building. From a point on level ground, the angle of…

A: The height of the flagpole is 95.4ft.

Q: An airplane is flying with a velocity of 94.0 m/s at an angle of 26.0 degree above the horizontal.…

A:

Q: 9. A 4 km flag pole is not standing up straight. There is a wire attached to the top of the pole and…

A: Given Data The length of the flag pole is PR=4 m. The length of the wire is PQ=4.17 m. The angle…

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: A plane rises from take- off and flies at an angle of 8° with the horizontal runway. When it has…

A: Given that a plane rises from take- off and flies at an angle of 8° with the horizontal runway when…

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 77∘.

A:

Q: A certain rock rises almost straight upward from the valley floor. From one​ point, the angle of…

A:

Q: 8. You are a block away from a skyscraper that is 780 feet tall. Your friend is between the…

A:

Q: You are on level ground in the late afternoon. The sun is at an angle of elevation of 20 degrees. A…

A:

Q: Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a…

A:

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

A:

Q: 42. An observer on the ground sites a plane at an angle d elevation of 41.2. At the same time, a…

A:

Q: a. A 600-foot guy wire is attached to the top of a communications tower. The wire makes a 65o angle…

A:

Q: You are flying a drone to get a nice picture of a lighthouse. As your drone is hovering above the…

A:

Q: You see a fire in the distance, but you don't know how far away it is. However, to the left of the…

A: From the given information we form the following diagram -  Let R represent the place where…

Q: A backdrop for a rock concert is supported by two guy wires mounted to the ground 135 feet from the…

A:

Q: 1) Suppose you're flying a kite and it gets caught at the top of a building. The string on the kite…

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

A:

Q: A ladder is leaning against the wall and makes a 60° angle with the ground.The base of the ladder is…

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.