A homeowner is to construct a 20° ramp to his front door to make it wheelchair-accessible.   How long does the ramp need to be if the door is 4 foot above the ground?  Round your answer to the nearest tenth of a foot.

Q: At noon, a ship leaves a harbor and sails south at 10 knots. Two hours later, a second ship leaves…

A: Given:

Q: Alexander is looking up at a 45-foot tall building at an angle of elevation of 32°. If his eyes are…

A:

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: Length of the support post = 20foot Angle between ground and support post = 70° sinθ =…

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: An air traffic controller on top of a 300-foot airport tower looks up and sees a ballon.The angle of…

Q: Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards the base of…

A: QUESTION- Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards…

Q: Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many…

A: Given that Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall.

Q: Haley planted a new tree in her yard.  To help the tree to grow upright, she attached support wires…

A:

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

A:

Q: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We use Pythagoras theorem

Q: Solve the right triangle shown in the figure. B a = 30.4, c = 51.8 A (Round to the nearest tenth as…

A:

Q: Amari is six feet tall and measure the angle between the horizontal and a bird in the sky to be 40°.…

A: Given:   To determine: length AE

Q: A homeowner is to construct a ramp to his front door to make it wheel-chair accessible. How long is…

A:

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

A: We have given angle of depression= 40°  Tower height= 45 feet  Find distance of partner from the…

Q: Solve the right triangle ABC, with C = 90°, a = 12 m and b = 20.8 m. ... m (Round to two decimal…

A:

Q: The figure shows a 400-foot tower on the side of a hill that forms a 7° angle with the horizontal.…

A: Given a figure it shows a 400 foot tower on the side of a hill that forms 7 degree angle with the…

Q: Find the approximate change in the length of the hypotenuse of a right triangle when its legs change…

A: Approximate change in the length can be found by the differentiation of hypotenuse  apply…

Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

A:

Q: A ladder 5m long is leaning on a wall and makes an amgle of 30 degrees with hthe horizontal. What is…

A:

Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: If your standing on the trail 220 feet from the bottom of a tree, you have to look up at a 60 degree…

A: Topic-hight & distance trigonometry

Q: From a hot-air balloon, Zoe measures a 37° angle of depression to a landmark that's 1441 feet away,…

A: Solution:-angle of depression, θ=37°angle of depression=angle of elevationhorizontal distance…

Q: Diego is flying his kite one afternoon and notices that he has let out the entire 150 ft of string.…

A:

Q: Consider the right triangle below B. 25 12 C. To the nearest degree, what is the value of 27

A:

Q: Peter needs a ladder to get to his roof for a repair. In order for the ladder to be the most stable,…

A:

Q: The figure shows a 450 foot tower on the side of a hill that forms a 8° angle with the horizontal.…

A:

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

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: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We know in a right angle triangle the formula of Pythagoras theorem is,…

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

Q: In the right triangle find the value of a to the nearest whole number if the hypotenuse is 20 m and…

A:

Q: Two gears are adjusted so that the smaller gear, with a radius of 12.4cm, drives the larger one. If…

A:

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: Solve the right triangle shown in the figure. B=15.9°, b= 33.5 a A= (Round to the nearest tenth as…

A:

Q: Solve the right triangle with a hypotenuse of 10 and an angle on 40 degrees

A: here we have the length of hypotenuse: AB=10 the length of the shorter leg: BC=x the length of the…

Q: The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the…

A:

Q: a surveyor is modeling how tall a new building for a project must be. If he is standing 200 feet…

A:

Q: Solve the right triangle shown in the figure. B B = 16.4°, b = 30.5 A C A = (Round to the nearest…

A: We can find the answers as below

Q: Michael wants to build a ramp to reach a basketball rim that is 10 feet high, and the angle of…

A:

Q: Alexander is looking up at a 43-foot tall building at an angle of elevation of 28°. If his eyes are…

A:

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

A:

Q: Brothers Bob and Tom Katz buy a tent that has a center pole 6.25 feet high. If the sides of the tent…

A:

Q: The hypotenuse of a right triangle measures 2v15 centimeters and its shorter leg measures 26…

A:

Q: The escalator at the local mall is 130 feet long and rises on a 28° angle. How high is the second…

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: Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the ground. How…

A: topic - trigonometric ratios

Q: 24. A 6-foot tall man is standing 8 feet from the base of a lamppost, as shown in the diagram.

A: Given that a 6-foot tall man is standing 8 feet from the base of a lamppost.Also, given that if the…

Q: Solve for all parts of the triangle when given a=17, b=18, and A=55 degree

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A: