A submarine traveling at 9 mph is descending at an angle of depression of 5 degrees. How many minutes, to the nearest tenth, does it take the submarine to reach a depth of 80 feet?

Q: This problem requires work. From the top of a vertical cliff 40 m high, the angle of depression of…

A:

Q: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

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: how far is the partner from the base of the tower, to the nearest tenth of a foot?

A:

Q: The Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

Q: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

A:

Q: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of…

A:

Q: a circle of radius 7, the length of the arc that subtends a central angle of 300 degrees is…

A:

Q: From the second floor of Building I, an observer estimates the angle of elevation to the top of…

A: Angle of elevation to top of building second is 75° and  the angle of depression to its base to be…

Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

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: On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet? degrees In a circle…

A: follow next step

Q: A 39-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

Q: From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is…

A:

Q: The angle of elevation from a viewer to the top of a flagpole is 50°. If the viewer is 40 feet away…

A: Solution: In ∆ABCtan 50°  =ABBC⇒ tan 50×40 = h                   h = 47.67                   h =…

Q: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

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 depression from the top of a building to the base of a car is 60∘. If the building is…

A:

Q: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

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: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

A:

Q: If you place a 18 ft. Ladder 3 ft. From the base of the wall, what is the angle measure of the…

A: The cosine of an acute angle (A) in a right angles triangle is given by:   cos(A)=Side adjacent to…

Q: A projectile is fired at a speed of 800 m/sec at an angle of 60°. How long will it take to get 22 km…

A: This problem is related to projectile motion and solve this using velocity and distance…

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

Q: An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the…

A:

Q: A 25-foot ladder leans up against a house at an angle of 65°. How high up on the house does the…

A:

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: An observer on the roof of Building A measures a 27° angle of depression between the horizontal and…

A:

Q: If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross…

A: The diagonal cross section is:-

Q: A small plane takes off from an airport and begins to climb at a 10.08 angle of elevation at 5,000…

A:

Q: From the top of a tower 23 m high, a princess looks down at an angle of depression of 70 degrees.…

A: here we need to find the distance bc and ac. the solutio is following.

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

A:

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A:

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

Q: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

A:

Q: From the second floor of Building I, an observer estimates the angle of elevation to the top og…

A: Given:  From the second floor of Building I, an observer estimates the angle of elevation to the top…

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 bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: An observer saw a canoe 8 meters below the cliff that makes a viewing angle with respect to the…

A: Given conditions can be drawn as follows, Here, Angle of depressions 30o and angle ABC are…

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

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

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

A:

Q: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

A:

Q: A house is 500 feet high. At a certain distance away from the house, an observer determines that the…

A: Given that, A house is 500 feet high. At a certain distance away from the house, an observer…

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: 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: 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 a point on the ground 100 m from the foot of a cliff, the angle ofelevation of the top of the…

A: Given that from a point on the ground 100m from the foot of a cliff, the angle ofelevation of the…

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.