The height of a right circular cone is 24.6 centimeters. If the diameter of the base is 10.4 centimeters, what angle ? does the side of the cone make with the base (see the figure below)? (Round your answer to one decimal place.) ? =   °

Q: The radius of circle B is 10 mm and the central angle of ABC is 75°. what is the area of the…

A: Given: Given: r = 10 mm θ = 75o

Q: A ladder is placed 5 ft5 ft away from a wall and reaches a point 12 ft12 ft high. What is the…

A: Given:  A ladder is placed 5 ft away from a wall and reaches a point 12 ft high. To Find:  To find…

Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: E. From the top of a 250 ft lighthouse, then angle of depression to a ship in the ocean is 18. How…

A:

Q: Find the angle of depression from point A to point C. A 66° 5 mi B Angle of depression = [? ]°

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 cone just fits inside a can as shown below. The diameter of the can is 7.6 cm and the height is…

A: The Corresponding Angles Postulate states that, when two parallel lines are cut by a traversal, the…

Q: From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is…

A: We know the angle subtended by an arc is given by Although the arc is circular, the large amount…

Q: A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the…

A: We use Trigonometry ratios

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

A:

Q: From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is…

A:

Q: A satellite is circling above the earth as shown below. When the satellite is directly above point…

A:

Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

A:

Q: A 26 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A: Solving the problem finding the angle between them.

Q: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

Q: The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A:

Q: A circle with a diameter of 10 cm and a central angle of 30° is drawn below. What is the area, to…

A: Here we have to first find the area of the sector and then find the nearest tenth of the area.…

Q: The terminal side of 0, an angle in standard position, intersects the unit circle at v8 P(-$.}).…

A:

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

A:

Q: At the Maryland State Fair, there Is a zoom in with the following dimensions: • Radius 30 ft •…

A: According to our guidelines I am answering first three subparts. Please resubmit other parts in…

Q: A building 50 ft tall is on a hillside. A surveyor at a point on the hill observes that the angle of…

A: BT be the height of the building which is equal to 50 ft. BT=BO+OT……i

Q: From a 200 foot tower on the shore a man sees a ship at sea. If the angle of depression from the man…

A:

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°, If the viewer is…

A:

Q: The terminal side of the angle & drawn in standard position intersects the unit circle (, - ). at…

A: To find: The value of csc θ. Given: The terminal side of the angle θ drawn in standard position…

Q: The dorsal fin of a shark forms an obtuse triangle with the measurements shown in the diagram. Round…

A: We know that the sum of angles in a triangle is 180 degree…

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is…

A:

Q: From the top of a 72-m lighthouse, the angle of depression to a ship in the ocean is 21°. How far is…

A: Given the top of a 72 m and the angle of depression to a ship in the ocean is 21°. We have to find…

Q: The Willis Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

Q: What is the measure of the angle (with the ground) formed by a 17 ft ladder leaned against the top…

A: Find the angle of ladder formed with ground .

Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: 23. A car is traveling around a circular road whose diameter is 10 m. If the distance traveled by…

A: Given a car is travelling around a circular road whose diameter is 10 m. Distance travelled by the…

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

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Given: A 19-ft ladder leans against a building so that the angle between the ground and the ladder…

Q: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

A:

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

A: Given,

Q: 2) In triangle ABC, a=14 ft, b=18 ft, c=12 ft. Find the mesasure of angle A to the nearest degree.

A:

Q: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

A: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

Q: The.height.of.a.right.circular cone is 23.7 centimeters. If the diameter of the base is 10.6…

A: Here, we need to find the angle made by the side of the cone with the base.

Q: The dorsal fin of a shark forms an obtuse triangle with the measurements shown in the diagram. Round…

A:

Q: The area of a sector of a circle with a central angle of 60° is given by 60T. What is the area of…

A: Explanation of the answer is as follows

Q: An acute triangle has an area of 10 square inches. Two sides have lengths 8 inches and 5 inches.…

A:

Q: 1) From the top of a coconut tree is 20m tall. A dog is spotted at an angle of depression of 15°.…

A:

Q: What is the angle of elevation of the sun when a 35-foot flag pole casts a 20-foot shadow? Round to…

A:

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: A triangular parcel of ground has sides of length 735 feet, 660 feet, and 525 feet. Find the measure…

A: 1) We know that the largest angle is opposite the largest side of the triangle and we need to find…

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

A:

Q: 6. From the top of Mt. Banahaw 135m high, it is observed that the angle of depression of a ship is…

A:

Q: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

A:

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 240…

A: y=240 ft θ=40o from right angle triangle sinθ=perpendicularhypotenuse

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.