Finding the Distance of a Ship from Shore A person in asmall boat, offshore from a vertical cliff known to be 100 feetin height, takes a sighting of the top of the cliff. If the angleof elevation is found to be 25°, how far offshore is the boat?

Q: angle of elevation from point A on the ground to the top of a 225-foot cell phone tower is 65°.…

A:

Q: A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point…

A: Let's find.

Q: 51. Height of a Tree Eighty feet from the trunk of a tree on level ground, the angle of elevation of…

A:

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 71°, and the top…

A: The angle of elevation of the ladder (say o ) = 71° distance between top of the ladder above the…

Q: Height of a building From a point A that is 8.20 meters above level ground, the angle of elevation…

A: The point A is 8.20 m above the ground level. Let PQ be the building. A rough sketch for the…

Q: Iwo wires are attached to the top of a billboard. One is in front of the billboard, is 100 m long…

A:

Q: Height of a tower From a point P on level ground, the angle of elevation of the top of a tower is…

A: Refer the illustrative figure below.

Q: A Kite is flying 115 feet above the ground. The length of the string to the kite is 150 feet…

A:

Q: 9.8 ft 59°

A:

Q: 9. Leaning Ladder A 20-ft ladder is leaning against a building.If the base of the ladder is 6 ft…

A: The length of ladder is 20ft Base of building is 6ft away from building To find angle of elevation…

Q: As shown in the figure below, Jane is standing 91 feet from the base of a leaning tree. The tree is…

A:

Q: 43 1000 Tis

A: Given, the altitude of the helicopter = 1000 ft height of the mountain =5210 ft  the angle of…

Q: Angle of Elevation A 155-foot antenna is on top of a tall building. From a point on theground, the…

A: Concept:   The trigonometric ratio are ratios, sine, cosine, tangent, cosecant, secant and…

Q: 13) Solve A ladder leans against a wall. The bottom of the ladder is 10 feet from the base of the…

A: To solve such questions we use important trigonometric ratios. We know, sin θ=PH where P is…

Q: A 14 ft ladder leans against the side of a house. The bottom of the ladder is 5 t away from the side…

A:

Q: A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point…

A: Given problem:- A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the…

Q: e angle of elevation to the top of the Empire State Building in New York is found to be 11 degrees…

A:

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 64°, and the top…

A: The ladder is forming a right angled triangle with the house for which Perpendicular= 13 ft., Let…

Q: A tower is on the top of a hill. It is 1900 feet from an observer to a point directly under the…

A: A rough sketch of the given problem is as follows:

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 67°, and the top…

A: The angle of elevation of the ladder is 67° top of the ladder is 15 ft

Q: A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point…

A: Given: Height of lighthouse, h=107 ft Angle of elevation of beacon from AA = 12o BB= 20o

Q: From the top of a 230 ft lighthouse, the angle of depression to a ship in the ocean is 21 degrees.…

A:

Q: Radio Antenna: A guy wire is attached to the top of a radio antenna and to a point on horizontal…

A:

Q: 9. A pole leans away from straight vertical and it has created an angle at its base of 98 degrees.…

A: Given problem:- A pole leans away from straight vertical and it has created an angle at its base of…

Q: Height of a pole Two wires stretch from the top T of a vertical pole to points B and C on the…

A:

Q: A 16 ft ladder leans agalnst the side of a house. The top of the ladder Is 15 ft off the ground.…

A:

Q: A tower leans at an angle of about 84.7°. The figure shows that 182 feet from the base of the tower,…

A: To find the distance

Q: Height of Cloud Cover To measure the height of the cloud cover at an airport, a worker shines a…

A:

Q: Using trigonometry to find angles of elevation or depression in ... A plane is 140 mi north and 195…

A: Solve for x

Q: boat heading out to sea starts out at Point A, at a horizontal distance of 1390 feet from a…

A: We will use trigonometric Ratio to solve this.

Q: A 17 ft ladder leans against the side of a house. The bottom of the ladder is 9 ft away from the…

A:

Q: A fire ranger stands at an observation window 70 ft above the ground. She sees a fire in the…

A: Consider

Q: 8. A vertical pole is 10 m tall. A cable is connected from the top of the pole to a point on the…

A: Use the basic trigonometry and find x

Q: Angle of Depression A man standing on the roof of a building 86.0 feet above theground looks down to…

A: We need to draw a diagram of the problem

Q: From the top of a tree 60 feet, high, the angle of elevation of the top of a vertical pole is 14…

A:

Q: A 53-foot wire running from the top of a tent pole to the ground makes an angle of 56° with the…

A:

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

A: Given : The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the…

Q: A 15 ft ladder leans against the side of a house. The bottom of the ladder is 8 ft away from the…

A: Here the ladder- ground- wall constitutes a right angled triangle. So to find angle of elevation of…

Q: The angle of elevation to the top of the flagpole is 34° from a point 48 meters from the base of the…

A:

Q: 22. A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet…

A: Aim: To find  ∠ABC OR ∠θ.   Given: Length of ladder = 22 foot The bottom of the ladder is 3ft from…

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

A:

Q: Diameter of the Sun If the distance to the sun is approximately 93 million miles, and, from the…

A: Given: If the distance to the sun is approximately 93 million miles, and, from the earth, the sun…

Q: a 12 ft ladder leans against the side of a house the top of the ladder is 10 ft off the ground find…

A: A 12 ft ladder leans against the side of a house the top of the ladder is 10 ft off the ground. The…

Q: A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder…

A:

Q: 1. A ladder leans against a wall. The bottom of the ladder is 10 feet from the base of the wall, and…

A: Use sine theta to evaluate

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

A:

Q: Height of a Tree To estimate the height of a tree, one person positions himself duesouth of the…

A: Let one person stand at A and another at B and tree is at point C. Distance between person and tree…

Q: A 15 ft ladder leans against the side of a house. The bottom of the ladder is 8 ft away from the…

A:

Q: Angle of Elevation A woman entering an outside glass elevator on the ground floorof a hotel glances…

A:

Q: a ladder leans against the side of a house. the angle of elevation of the ladder is 66 when the…

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.