If 0 = 25°, find the distance between two cities, A and B, to the nearest mile. The radius of the Earth is approximately 4000 miles. 4000 miles The distance between the two cities, A and B, is approximately miles. (Round to the nearest whole number as needed.)

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: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: A ladder 5 feet long leans against a wall and makes an angle 65° with the ground.we have to find…

Q: From the top of a 187-ft lighthouse, the angle of depression 2 to a ship in the ocean is 15°. How…

A: Given,          From the top of a 187- ft lighthouse. the angle of depression to a ship          in…

Q: Given a circle of radius r, having a central angle of θ (in degrees), show the area of that circular…

A:

Q: The Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64^{\circ}∘.…

A:

Q: If the terminal side of an angle O rets in quadrant III, what method would you use to find the…

A: We find if the terminal side of an angle O rets in quadrant III, how would we use to find the…

Q: In a circle of radius 5 miles, the lengths of the arc that subtends a central angle of 6 radians is…

A: We have:    Radius of the circle(r) = 5 miles.     Central angle = 6 radians.  Thus, θ = 6 radian.…

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A: topic - application of trigonometry

Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

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Q: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

A:

Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 65∘∘. How tall…

A: given: The angle of elevation to a nearby tree from a point on the ground is measured to be . we…

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

Q: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

A:

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A:

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

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: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

A:

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

A:

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees is_____?…

A:

Q: At a point 600 feet away from the base of a building, the angle of elevation to the top of the…

A: distance between the point and the base of the building is 600 m  angle of elevation to the top of…

Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: The angle of depression from the top of a building, 212 meters tall, to a point on the ground is…

A: 2.1

Q: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: SOLUTION-

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

A: Given,

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

A:

Q: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

A:

Q: When the angle of elevation to the sun is 37°, a flagpole casts a shadow that is 24.2 ft long. What…

A: Given, Angle of elevation to the sun is 37° Flagpole casts a shadow that is 24.2 ft long

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A: Given that angle of elevation to a nearby tree from a point on the ground is 47° and the tree is 67…

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A: Given that, a radio tower is located 425 feet from a building and the angle of elevation to the top…

Q: If the angle of elevation of the sun is 75° 30', how tall is a post that casts a shadow 1.1 feet…

A: 30' = 0.5 degree

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

A: