E. From the top of a 250 ft lighthouse, then angle of depression to a ship in the ocean is 18. How far is the ship from the base of the lighthouse?

Q: A 12 ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder…

A: From the given, consider the below figure

Q: A 17-foot ladder is placed against a wall. The ladder is on level ground at an angle of 71.5 degrees…

A:

Q: connected from a window on one building to a u s-line is 10 yards long with an angle of depressi

A:

Q: The area in the Atlantic Ocean known as the Bermuda Triangle is defined by an imaginary triangle…

A: To find the area of the Bermuda triangle

Q: A piece of wire is attached from the top of a 45 foot utility pole to a stake in the ground. If the…

A:

Q: 3. If a guy wire for a tree is 14 ft long, making 41° angle with the ground, how far is the base of…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A:

Q: From the top of a building 100 m high, the angles of depression of two cars due east of the observer…

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

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 81°,…

A: Solution:- The given questions are...   a)  b)

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

Q: a 14 yard rope is strung from the bottom of one tree to the top of another. The angle of elevation…

A:

Q: - How far from the wall of a building is the base of a 33 ft. ladder which makes an angle of 70"…

A: Here, hypotenuse = 33ft  Angle = 70°  We have to find the base .

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 72°.…

A: perpendicular/hypotenuse=sin(angle)

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

Q: 1. The foot of a ladder is 1.8 m from the base of a wall. If the ladder makes an angle of 72° with…

A: To solve the following problem

Q: A 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

Q: A support wire 20 meters long runs from the top of a utility pole to a point on the ground 17 meters…

A: Given information, we can plot a diagram,

Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

A:

Q: The angle of elevation from an observer to thetop of a building is 35°. If the observer is 155…

A: To height of the building is calculated by measuring the distance from the object and the…

Q: The angle of elevation to the top of a building from a point on the ground is 22°. If the building…

A:

Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

A:

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A:

Q: From a point on the South Rim of a​ canyon, it is found that the angle of elevation to a point on…

A: Given:- From a point on the South Rim of a​ canyon, it is found that the angle of elevation to a…

Q: 19. How far from the wall of a building is the base of a 30 ft. ladder which makes an angle of 75°…

A: Given that length of the ladder is 30 ft. which makes an angle of 75° with the ground. We have to…

Q: From the top of a lighthouse 45 meters above sea level, a swimmer is observed swimming with angle of…

A: The diagram for given situation will be    whre AB=45m hieght of light houseC, position of…

Q: Two guy wires from the top of a 40-foot tent pole are anchored to the ground below by two stakes. If…

A: We sketch the situation roughly  AB is the pole. C and D are two stakes.  We have to find CD=?

Q: What is the measure of the angle (with the ground) formed by a 17 ft ladder leaned against the top…

A: Find the angle of ladder formed with ground .

Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: to illuminate the entrance of an apartment building, a night light is mounted on a 6.6 meter tall…

A: Ans-15.376 degree,detailed solution I have uploaded ...hope you will get it...thanks

Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

A:

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A: Angle of inclination=13.8 degree  Height of skyscrapper B=1437 feet

Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

A:

Q: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

Q: A tower is supported by two guy wires, 162 ft and 181 ft long. Each wire is attached to the top of…

A: using sinθ , cosθ , tanθ

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: The angle of elevation to the top of a building from a point on the ground is 24° . If the building…

A:

Q: A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62° .…

A:

Q: At Sampaloc Lake, a boatman sights a buoy at an angle of 28° to the boat's path. He continues on the…

A: Given: At Sampaloc Lake, a boatman sights a buoy at an angle of 28 to the boat’s path. He continues…

Q: A wall that is 1.4 meters long started to lean and now makes an angle of 80 degrees with the ground.…

A: Question is solved.

Q: 19. How far from the wall of a building ia the base of a 35 ft. ladder which makes an angle of 70°…

A:

Q: For safety, the angle of a wheelchair ramo makes with the horizontal should be no more than 3.5…

A: Consider the figure given below :

Q: A 12-ft ladder leaning against a house makes a 64° angle with the ground. Will the ladder reach a…

A: Check the ladder reach window sill 10.5 ft up from the base of house.

Q: A submarine that has sunken to the ocean floor is being pulled up by two large freight ships on the…

A:

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

Q: On a circle of radius 6 feet, what angle would subtend an arch of length 7 feet

A: Given the length of the circle is r=6 feet the length of the arc of the circle is S=7 feet Let θ be…

Q: The sides of a rectangle are 15 cm and 17 cm. What is the measure of the angle formed by the long…

A: Use trigonometric ratio to solve

Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank 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.