A catapult flings a boulder. The angle of elevation is 65 degrees and the velocity is 26 m/s. Determine the horizontal and vertical components of the velocity.

Q: The angle of elevation from the top of a 95 foot tall bullding to a hot air balloon in the sky is…

A: In triangle ABC , let . It is known that , in the triangle .

Q: A rectangular piece of wood 4 x 12 cm tall is tilted at an angle of 45 degrees. Find the vertical…

A: Recall: In a right angles triangle ,the square of the hypotenuse side is equal to the sum of…

Q: In a movie theatre 150 feet long, the floor is sloped so there is a difference of 30 feet between…

A: Given:- In a movie theatre 150 feet long, the floor is sloped so there is a difference of 30 feet…

Q: The length of a shadow of a tree is 165 feet when the angle of elevation of the sun is 15°.…

A:

Q: ship travels 60 miles due east, then adjust its course 15° northward. After travelling 80 mil hat…

A: We will find the distance.

Q: Athena kicks a football from the ground with a resultant velocity of 25 m/s at an angle of 47° above…

A:

Q: The Tour Montparnasse in Paris is 210 m high. From his position on the street, Tom measures the…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: The radius of the wheel on a bike is 18 inches. If the wheel is revolving at 118 revolutions per…

A: Given radius of wheel on bike=18 inches.Also wheel is revolving at 118 revolutions per minute.To…

Q: A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top…

A: Answer (59): Consider, the distance from the head of the boy to the top of the building is x m.…

Q: A motorboat traveling across a wide river is headed 50 degrees north of west at a rate of constant…

A:

Q: A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the…

A:

Q: A flagpole is 3 meters tall. What is the angle of elevation of the sun when the horizontal shadow of…

A: Given

Q: An architect is designing a slanted ramp that connects to a loading dock. The vertical distance…

A:

Q: What is a curvilinear relationship? Create 1 inverted and one U shaped and explain your example…

A: Curvilinear relationship can be defined as the relationship between two variables which do not…

Q: A water sprinkler sprays water over a distance of 20 feet while rotating through an angle of 130.…

A:

Q: A quantity that has both magnitude and direction is called a/an_________ .

A: A quantity that has both magnitude and direction is called  vectors.  Geometrically, we can…

Q: An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the…

A:

Q: A 6-foot-tall worker stands 40 feet away from a crumbling tower. The angle of elevation to the top…

A:

Q: A polnt on the edge of a symmetrical canyon is 4500 ft above a river that cuts through The canyon…

A:

Q: Isabela standing 180 ft from a pole. The angle of elevation of its top is 20°. If her line of sight…

A: Here we will find height of pole from ground,

Q: An airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. What is the…

A:

Q: The height of a tower is 175feet and it casts a shadow of 78 feet. find the angle elevation fUM the…

A: The height of a tower is 175 feet and it casts a shadow of 78 feet.

Q: A professor designed an asymmetrical A- frame house. The angle between sides AB and CB, which…

A:

Q: A football player punts a ball at an angle of 43 at 1.5 feet off the ground, with an initial…

A:

Q: A gun has muzzle speed 150m/s  . Find two angles of elevation that can be used to hit a target 800 m…

A:

Q: A point on the edge of a symmetrical canyon is 4500 ft above a river that cuts through The canyon…

A:

Q: An automatic lawn sprinkler sprays up to a distance of 20 feet while rotating 30 degrees. What is…

A: Solution ) the area cover by sprinkler              = (Angle /360)× πr^2             =…

Q: An automobile windshield wiper 6 inches long rotates through an angle of 60∘. If the rubber part of…

A: It is given that, only last 5 inches rubber clean the windshield. Wiper rotates by θ=60°.   Area…

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: An airplane pilot finds the measure of the angle of depression of the edge of the runway to be 47°.…

A:

Q: A road 1.6 km long rises 400 m. What is the angle of elevation of the road?

A: In general, it is known that 1 km = 1000 meters. Now convert km into meters. 1.6km×1000=1,600 meters…

Q: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions per…

A: The radius is 18 inches. The circumference of the wheel is the distance covered in one revolution, 1…

Q: The peak of Mt. Fuji is approximately 12400 feet high. A student several miles away notes that the…

A: Trigonometric functions: sinθ=Opposite sideHypotenusecosθ=Adjacent sideHypotenusetanθ=Opposite…

Q: The distance that a spring will stretch varies directly as the force applied to the spring. A force…

A: Form the equation form the force when spring streched by x inch and solve .

Q: An automobile windshield wiper 10 inches long rotates through an angle of 608. If the rubber part of…

A:

Q: The radius of the wheel on a bike is 27 inches. If the wheel is revolving at 144 revolutions per…

A: Given that the radius of wheel is 27 inches.

Q: A monument is 35m tall. What is the length of its shadow when the angle of elevation of the sun is…

A: We know that tan(θ)=opposite sideadjacent side

Q: A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 200 feet and…

A:

Q: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Find the angle of elevation of the…

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: A camera is mounted on a tripod 4 feet high at a distance of 9 feet from George, who is 5 feet tall.…

A: Given that a camera is mounted on a tripod 4 feet high at a distance of 9 feet from George. The…

Q: An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the…

A: Note: As per the company's policy we are supposed to solve only one question. Kindly repost the next…

Q: The radius of the wheel on a bike is 19 inches. If the wheel is revolving at 140 revolutions per…

A: Given radius of wheel r=19 inches∴Distance travelled in 1 revolution=circumference of wheel…

Q: You are standing 42 meters from the base of a building. You estimate that the angle of elevation to…

A:

Q: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions per…

A: Given: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions…

Q: A ball is thrown with an initial velocity of 70 km per second, at an angle of 35° with the…

A:

Q: John stands 145 feet from a Bldg. He has a telescope 5 feet from the ground and views the Building…

A:

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

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.