a ramp makes an angle of 10 degrees with the ground. If the top of the ramp is 4 feet above the ground, how long is the ramp?

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

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

A:

Q: A 20 foot ladder leans against the a house forming a 75 angle with the house. Exactly how far is the…

A:

Q: A tree casts a shadow 36 m long when the sun’s rays are at an angle of 22° to the ground. How tall…

A:

Q: A ladder is leaning against the side of a building. If the ladder forms an angle of 60∘ with the…

A:

Q: A 10-foot ladder is to be placed against the side of a building. The base of the ladder must be…

A: Placing ladder against the side of the building will form the hypotenuse of the right angled…

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45…

A:

Q: A ladder leans up against a building at an angle of 65° with the ground. If the ladder is 5 metres…

A: Given: A ladder leans up against a building at an angle of 65° with the ground. The ladder is 5…

Q: observation tower is 75 m high. A support wire attached to the tower 20 m from the top. If the…

A: Given query is to find the length of the wire.

Q: A ramp makes an angle of 12° with the ground. If the top of the ramp is 8 feet above the ground, how…

A: Visualizing the question let AB be the ramp, ∠BAO be the angle by the ramp with ground

Q: A guy wire to a tower makes a 69 degree angle with level ground. At a point 33 feet farther from the…

A: Draw the given scenario as follows.

Q: If the angle of elevation from the ground to a tree is 40° from 108 feet away, how tall is the tree?

A: Let AB be the tree and C is the point on the ground. According to question, BC=108 feet and ∠C=40°.…

Q: An 18 - foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to…

A:

Q: A ladder leaning against a building makes an angle of 78 degrees with the ground. The base of the…

A: According to trigonometric ratios, and .

Q: an 35 foot ladder leaning against a house makes a 15 degree angle with the ground. How far up the…

A: The building, the ladder, and the ground form a right triangle.   where angle between ladder and…

Q: A 18 foot ladder rests against a wall. The ladter makes a 65 angle with the ground. How far from the…

A:

Q: A broken flagpole forms a right triangle with the ground. If the angle which the broken part makes…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: As shown in the figure,A and B are the stations, and D is the satellite.Distance between two…

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

Q: A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A: when ladder lean in a wall it behaves as a hypotenuse of a right angled triangle

Q: An escalator in a department store is to carry people a vertical distance of 20 feet between floors.…

A:

Q: How long of a ladder is needed to reach a windowsill 50 feet above the ground if the ladder rests…

A: So we have to find how long of a ladder is needed to reach a windowsill 50 feet above the ground if…

Q: A 51-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the…

A:

Q: A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one…

A: According to the question , we can draw the following diagram: Let say, AC is the old ramp, which…

Q: For safety, in climbing a ladder against a wall, the ladder should ideally make an angle of 75…

A: cos x = adjacent/hypotenuse

Q: An escalator in a department store is to carry people a vertical distance of 10 feet between floors.…

A: Given that An escalator in a department store is to carry people a vertical distance of 10 feet…

Q: A 25-foot ladder is leaned against a house. If the base of the ladder is 8 feet away from the house,…

A:

Q: A walkway with a length of 18 meters connects the ground and the entryway of a building. If the…

A: Given,          A walkway with the length of 18m connects the ground and the entryway of a building.…

Q: A plane takes off at an angle of 6°. After traveling for one mile, or 5280 feet, along this flight…

A: Angle of elevation=6 degree

Q: wire is attached from the top of a 30-foot tall telephone pole to a stake in the ground. If the…

A: Based on the information given in the problem, you can draw a right triangle like the one shown…

Q: A ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

A:

Q: A ladder leaning against the wall makes an angle of 74 with the ground. If the foot of the ladder is…

A: Since, a ladder is leaning against the waall making an angle of 74° withthe ground.Alos, we have…

Q: A building casts a shadow 20m long. If the angle from the tip of the shadow to a point on top of the…

A:

Q: 2.] From a point on a ship's deck 30 feet from the base of the mast, the angle of elevation of the…

A: Given the data :

Q: A vertical pole, 60 feet tall, casts a shadow on the ground. If the angle of elevation from the tip…

A: Solution: The objective is to find the length of the shadow

Q: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: A ladder leaning against the wall makes an angle of 74° with the ground. the base of the ladder is…

A:

Q: A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck…

A: the length of the ramp is xx feet angle with the ground=30°

Q: A tree cast a shadow that is 175 feet long. If the angle of elevation from the end of the shadow…

A:

Q: A ladder rests against a building at a point that is 95 feet from the ground. If the ladder makes a…

A: A ladder rests against a building at a point that is 95 feet from the ground.The ladder makes a 37°…

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 radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

A:

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

A:

Q: An 18-foot ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: How long is the ladder which makes an angle of 30° with the side of the house and whose foot is…

A: Given: The ladder makes an angle of 30° with the side of the house and whose foot is 204cm away from…

Q: An escalator in a department store is to carry people a vertical distance of 25 feet between floors.…

A: An escalator in a department store is to carry people a vertical distance of 25 feet between floors.…

Q: The ladders height on the building reaches 20 feet and the angle formed by the ladder 9. and the…

A: Given : height -20feet              Angle-73 degree at ground

Q: The length of a string from the center of a yo-yo to tip of Tony’s middle finger is 12 cm. If Tony…

A:

Q: 2. A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is 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.