From the rooftop, Ted sees his dog on the ground. The angle of depression from Ted's eye to the dog is 40 degrees. Ted is eye level is 16 ft above the ground. How far must the dog walk so that it is directly below Ted on the rooftop? Round to the nearest foot.

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: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: A ladder 5 feet long leans against a wall and makes an angle 65° with the ground.we have to find…

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

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

Q: A child is standing across the street from his apartment. His mother is on their balcony. The angle…

A:

Q: Two apartment buildings are 40 ft apart. From a window in her apartment, Izzi can see the top of the…

A: Given that the distance between two apartment buildings are 40 ft. apart. The diagram according to…

Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

A:

Q: Justin spots a tree directly across the river from where he is standing. He then walks 27 ft…

A:

Q: On a test flight, during the landing of the space shuttle, the ship was 366 ft above the end of the…

A:

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A:

Q: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

A:

Q: From a hotel a window 30 meters above the ground, allan finds that the angle of elevation of the top…

A: We have to draw a diagram according to the question and then we have to find the unknown sides of…

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: A plane rises from take-off and flies at an angle of 10° with the horizontal runway. When it has…

A:

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A:

Q: From a second storey of a building window directly across the street, the angle of elevation of the…

A:

Q: You are six feet tall and measure the angle between the horizontal and a bird in the sky to be 40o.…

A: Given : Angle between horizontal and bird = 40 Shadow from man = 200 ft Height of Man = 6 ft

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: A bird is flying in the sky when it spots a worm on the ground. If the angle of depression from the…

A:

Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: at is the horizontal distance from the base of t

A: Given: From the observation deck of a skyscraper, Isabella measures a 67o angle of depression to a…

Q: From a window,30.0 ft above the street, the angle of elevation to the top of a building is 50° and…

A:

Q: From a hotel window 30 meters above the ground, Alan finds that the angle of elevation of the top of…

A: Let the distance between the monument and the hotel window be x. Then we get,…

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: Given : The angle of elevation of the kite is 550. The string is 475 ft long.   To find the height…

Q: The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the…

A: Given that, Height of the door way from the ground is 3.45 ft. and the ramp to the door is at an…

Q: From the cliff, 500 ft above the horizontal plane, the angle of depression of a church in the plane…

A: Given that: From the cliff, 500 ft above the horizontal plane, the angle of depression of a church…

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

A:

Q: The proper angle for a ladder is about 75 from the ground. Suppose you have a 15 foot ladder. How…

A: we have a 15 foot ladder which is attached to a wall at a angle of 75°

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Draw the situation using right triangles and use trigonometric ratios.

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A:

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

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: At 11:30 a.m. the angle of elevation of the sun for one city is 55.9°. If the height of a monument…

A:

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

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

A: Let 'a' be the length of ladder and 'b' be the height of the building.Since, it is given that…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A:

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: From your balcony 8 feet high, you see a child across the street. The angle of depression to the…

A:

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Refer the figure that illustrates the given information

Q: and

A:

Q: The angle of elevation to the top of a building is 38 . From a point 440 ft. farther away the angle…

A:

Q: Out for a walk in Chicago, Morgan measures the angle of elevation to the distant Willis Tower, and…

A:

Q: The diagram shows the side of a small shed with vertical walls of equal height and a roof that is…

A: A small shed is formed with two equal vertical walls and its roof is formed by two slanted sections.…

Q: A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the…

A:

Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: Man holds the end of the kite string at ground level and estimates the angle of elevation of the…

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A:

Q: A hot air balloon is floating above a straight road. To estimate their height above the ground, the…

A: Here we will find height of balloon from the ground,

Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

Q: A man standing between two trees and is 42 feet from the taller tree and 40 feet from the shorter…

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.