* From a balloon 990 feet high, the angle of depression to the ranger headquarters is 60 57'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)? O A. 545 ft O B. 555 ft OC. 550 ft D. 540 ft nar

Q: A person on the top of a tall building looks through his binoculars at his friend that is 300 ft…

A:

Q: From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with…

A:

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

A: The height of the cliff is BD= 25 ft. The height of the lighthouse is CD= 35ft. An angle of…

Q: What is the angle of depression e of the line of sight of a man looking at an object C below?…

A: Tan x = opposite side/Adjacent side

Q: An escalator lifts people to the second floor of a building, 30 ft above the first floor. The…

A: To find: The distance travel by a person: Formula used: Trigonometric ratio: Calculation: Assume…

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: From the given information, the angle of inclination of the hill is 78°, the angle formed by the guy…

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: We will use Trigonometric ratios for right angle triangle

Q: A plane is flying at an altitude of 14,500 ft. The angle of depression from the plane to a contvol…

A:

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 29°. How far…

A:

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: 12. From the top of a tower, the angle of depression to a stake on the ground is 72°. The top of the…

A: As per requirement  we will find the solution of question number 12 in the following step.

Q: A 14-foot ladder is placed against a wall. The ladder is on level ground at an angle of 66.5 ° to…

A:

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

A: Given angle of elevation of woman to see the top of building from ground floor = 55°. She rides…

Q: An airplane begins its descent with an average speed of 390 mph at an angle of depression of 23º.…

A: Given: Angle of depression is:  23° Average speed of its descent is: 390 mph

Q: An airplane is headed for the airport, 17 miles away. If the airplane is at an altitude of 1.52 mi,…

A: We will find the angle of depression.

Q: A railroad bridge in one city has a low clearance for trucks. An engineer standing 24 ft away…

A:

Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle 0…

A: Given query is to find the speed of the truck.

Q: 2.) A boat is 100 feet from shore. If the angle from the captain to the top of the lighthouse is…

A:

Q: The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 105 m…

A:

Q: 3. From the top of a cliff 150 ft high lighthouse, the angle of depression of a motorboat on the sea…

A: topic - trigonometric ratios

Q: 5. From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26°. Determine,…

A:

Q: From a balloon 927 feet high, the angle of depression to the ranger headquarters is 82 ° 14. How far…

A: This question is related to Trigonometric Ratios, we will solve it using given information.

Q: A tower is 79 meters high. At a bench, an observer notices the angle of elevation to the top of the…

A: A tower is 79 meters high. At a bench, an observer notices the angle of elevation to the top of the…

Q: Michael stands 7 feet from a table, and notices a plate resting on the edge of the table. The top of…

A:

Q: 42. From the top of a building, the angle of depression to a car parked on the street below is 48°.…

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

Q: 3.] From the top of a cliff, the angle of depression to a vessel 250 feet away from the base of a…

A:

Q: An escalator lifts people to the second floor of a building, 22 ft above the first floor. The…

A: Given :  Hight from 1st floor to 2nd floor = 22 ft  let Length of escalator = x ft  angle of…

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

A: Let 'x' be the length of the building from three floors The full length of the building across the…

Q: A ladder is leaning against a 3.4 m tall building at an angle of elevation of 50°. Determine the…

A: Hello! Thank you for your question. We’ll answer the first question since the exact one wasn’t…

Q: A swimmer swims 1.3 mph in still water and wants to swim to a point B due north from her starting…

A: Vector addition

Q: _4. From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the…

A:

Q: A ladder is leaning against a 3 m tall building at an angle of elevation of 46°. Determine the…

A:

Q: Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away…

A:

Q: A wheelchair ramp rises 4.3 ft over a distance of 30 ft. What is the angle of the ramp with the…

A:

Q: From the top of a lighthouse 60 feet above sea level, the angle of depression to a small boat is…

A:

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

A: Given  Angle of elevation from ground floor to top of the building = 49° Angle of elevation from…

Q: The angle of depression from a water tower to a forest fire underneath the tower is 18°. If the…

A: I am attaching image so that you understand each and every step.

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: Given:- communications tower is located at the top of a steep hill, as shown. The angle of…

Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle 0…

A: 1:To find the speed of truck in feet per second 2: to find the speed of truck in miles per hour

Q: A boat is tied to the dock with a 25-foot rope. When the rope is pulled tight, the boat is 18 feet…

A:

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

A:

Q: 43. An airplane (P) is 10 kilometers above is trying to land at point C at an angle of depression of…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: Draw a horizontal line through the base of the tower. Angle of the tower with the hill= angle above…

Q: 3. Nina stands 15 meters from a building and formed a 75° angle of elevation to its top. How high is…

A:

Q: 1. From the top of a vertical cliff 40 m high, the angle of depression of an object that is level…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: A helicopter is hovering above a road at an altitude of 24m. At a certain time, the distance between…

A: Given : a helicopter above a road at a height =24 m Distance between helicopter and a car=45m to…

Q: An anchor with a 30m rope attached looks up at the ship with an angle of elevation of 39o. Find the…

A: An anchor with a 30m rope attached looks up at the ship with an angle of elevation of 39 degree.

Q: A helicopter hovers 1250 feet above a small island. The figure shows that the angle of depression…

A:

Q: The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 101 m…

A: satisfy all given condition

Q: A radio tower is located 325 feet from a building. From a window in the building, a person…

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.