From a point on the floor the angle of elevation to the top of a door is 46°, while the angle of elevation to the ceiling above the door is 58°. If the ceiling is 9.7 feet above the floor, what is the vertical dimension of the door (see the figure below)? (Round your answ to one decimal place.) ft 9.7 ft 58 °

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A:

Q: On a circle of radius 9 feet, what angle would subtend an arc of length 2 feet? In radians: In…

A:

Q: The angle of depression from the top of a tower to a boulder on the ground is 60°. If the tower is…

A:

Q: From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26 0 . Determine, correct…

A: Let AB be the cliff and A be the top of the cliff.Height of the cliff=18.2 mLet C be the floating…

Q: A 18-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the…

A:

Q: A 23-ft ladder is leaning against a building. If the base of the ladder is 8 ft from the base of the…

A:

Q: 24-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the…

A: We have to find out

Q: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: Find the distance along an arc on the surface of Earth that subtends a central angle of 7 minutes (1…

A:

Q: = 12  ft from the building, and the angle formed by the ladder and the ground is 80°. How high up…

A:

Q: 13. 24 ft 12 ft

A:

Q: Find the distance along an arc on the surface of Earth that subtends a central angle of 7 minutes 1…

A: Convert degree to radian and use formula for arc length

Q: Find the area of a circle with diameter 36 feet and an angle of 4Pi/3 radians. Round your answer to…

A: Answer:678.584ft2

Q: 27 AU

A: We will use the fact that sum of angles of a triangle is 180° . Also we will use Law of Sines.

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12 ..... 0 = °…

A: The solution is given below:

Q: How high up the building does the ladder touch? (Round your answer to one decimal place.)

A: Given: The base of the ladder in the figure is  a = 5 and the angle formed by the ladder and the…

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: The angle of depression from the top of a lighthouse to a ship is 40 degrees. If the lighthouse is…

A:

Q: Find the distance along an arc on the surface of Earth that subtends a central angle of 4 minutes (…

A:

Q: From the top of a cliff that is 70 m in height, the angle of depression of a sailboat on a lake is…

A: Solution: The objective is to find the distance from the base of the cliff to the sailboat.

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 9…

A: 1 minute= (1/60)0 9 minutes=(9/60)o θ=(9/60)o

Q: The horizontal distance on a survev map from the top edge of a riverbank to the river is 85 feet…

A:

Q: Use the given information to find the length of a circular arc. Round to two decimal places. the arc…

A: Given that radius = r = 9.08 miles θ=π3=1.047 rad

Q: From a window 35.0 ft above the street, the angle of elevation to the top of the building across the…

A: The answer is found in step-2

Q: A 200-foot-high construction is anchored to the ground by a wire. The wire is fastened to the ground…

A:

Q: THE AREA OF A SECTOR IS A = 384 T in2. A. IF THE RADIUS IS 24 IN., WHAT IS THE MEASURE OF THE…

A: Area of sector = (central angle)/2π * area of circle

Q: Based on the triangle below, angle H is equal to ___ degrees. *(round to one decimal place)

A: Given,

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 10…

A:

Q: If a loading ramp is placed next to a truck, at a height of 6 feet, and the ramp is 19 feet long,…

A: A figure of ramp is given in step 2nd for better visualization of this problem

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: What is the value of cot 0 if the terminal side of angle 0 intersects the unit circle in the first…

A:

Q: The angle of elevation from a ship to the top of a 48m lighthouse on the shore measures 27 degrees.…

A:

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 5…

A: Please refer the attached image for complete solution.

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: One of the support wires for a radio tower is 100 feet long. One end of the wire is 40 feet from the…

A: From the figure it is clear that the center line drawn through the radio tower makes 90o with the…

Q: On a circle of radius 9 feet, what angle would subtend an arc of length 2 feet? In radians: | 0.22…

A: Use concept of arc length

Q: A car rolls forward 5 ft. The car wheel has a 16 in radius. Through what angle (to the nearest tenth…

A: Given Radius of wheel=16 inch A car roll forward = 5 ft = 5 x 12 = 60 inches

Q: I do not understand how to do this problem. How do you find the speed from the angle?

A: Given,

Q: A 18-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the…

A: Solve the following to find the angle of elevation and height of the building

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Height of redwood = 380 ftAngle of elevation = 51°Let distance between me and the base of redwood =…

Q: on a circle of radius 13ft, how long is an arc that subtends a central angle of (a) 2π/3 radians?…

A:

Q: A 19-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the…

A:

Q: 90 ft 5. A weight is supported by cables attached to both ends of a balance beam, as shown in the…

A:

Q: A railroad track has an angle of elevation of 1.00°. What is the difference in height (in ft) of two…

A: Form a triangle

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 8…

A: We have to find  the distance along an arc on the surface of the earth that subtends a central angle…

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 210 km apart. If one…

A: Given that two airplanes leaves an airport at the same time. their respective distance shows by a…

Q: An angle of measure 2.5 radians traces out an arc of length 7.5 cm. What is the radius of the circle…

A: Given:       Angle θ=2.5 radians     Arc of length L=7.5 cm     Arc Length = θ × r     r is the…

Q: What is the angle of depression from the plane to the​ building?(Round to the nearest degree as​…

A:

Q: A 18-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the…

A:

Q: an aircraft is spotted by two observers who are 1000 feet apart. as the airplane passes over the…

A: Given that  an aircraft is spotted by two persons who are 1000 feet apart . angles are 40°, 35° find…