The angle of elevation to the top of a tall building is found to be 13 from the ground at a distance of 1.4 mile from the base of the building. Using this information, find the height of the building. The buildings height is feet. Report answer accurate to 2 decimal places.

Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

Q: The radius of a circle is 4 centimeters. What is the length of an arc that subtends an angle of…

A: Length of arc is 28π9 cm

Q: At a point 45 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A:

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: Suppose that you are headed toward a plateau 32.5 meters high. If the angle of elevation to the top…

A: Solve the following

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: the toronto stock exchange is housed in the exchange tower. From the top of the building, the angle…

A: Given: θ=55.6° According to given data figure will be as follows: Where; h is height of building…

Q: The angle elevation to the top building in Chicago is found to be 9 degrees from the ground at a…

A:

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: Use a nearest tenth. trigonometric ratio to find the value of x. Round your answer to the 40

A: Given: To find: The value of x

Q: At a point on the ground 54.0m from the foot of a tree, the angle of elevation to the top of the…

A: Given:

Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

A:

Q: A 50foot tall building has a shadow that is 5 feet long. What is the angle of elevation of the sun?…

A: Given, Height of building is 50 foot. Length of shadow is 5 feet. To find: Angle of elevation of the…

Q: The angle of elevation to the top of a building in Seattle is found to be 2.8 degrees from the…

A: Given that: Angle of elevation  = 2.8°Distance from the base = 1.5 miles

Q: the acute angle (in radians) between the two straight lines y=3x +2 and y=4x+7 is closest to what…

A:

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: a scientist is standing at the top of a mountain 2 mi above sea level measures the angle of…

A: Here a scientist is standing at the top of a mountain 2 mi above sea level  measures the angle of…

Q: A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and…

A: Let AB be the height of the tree and C be the position of the Forester as shown below.

Q: The sonar of a navy ship detects a submarine that is 4000 feet from the ship. The angle between the…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

A:

Q: A​ blimp, suspended in the air at a height of 600 ​feet, lies directly over a line from a sports…

A: The distance between the sports stadium is

Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

A:

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

Q: the sun hits a building of unknown height so that the building casts a shadow of 410 feet. if the…

A: It is known that for a right angled triangle,

Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the…

A:

Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: As per given question question  We have find heights of Building

Q: The length of a shadow of a tree is 125 feet when the angle of elevation of the sun is 33°.…

A: The given information can be represented using a right triangle as shown in below figure.

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

A:

Q: A surveyor standing 50 feet from the base of a large tree measures the angle as 78.9°. How…

A: The height of the tree can be obtained using trigonometric ratios.  let the height be x feet, the…

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: 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: From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far…

A: From the top of a 214-ft light house, the angle of depression to a ship in the ocean is 29°. we have…

Q: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

Q: The length of a shadow of a tree is 125 feet when the angle of elevation of the sun is 31°.…

A:

Q: When the angle of elevation of the sun is 62 degrees, the shadow east by a vertical pole is 10m…

A:

Q: Find the horizontal width of a skateboard ramp if it has height 3 ft and a 20-degree incline. Round…

A:

Q: The altimeter of a jet airplane approaching Eusebio International Airport records 6,300 feet as it…

A:

Q: At a point 40 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A:

Q: Suppose that you are headed toward a plateau 27.8 meters high. If the angle of elevation to the top…

A: given that height of plateau 27.8 m and angle of elevation to the top of plateau is 26.5 degree.…

Q: Assume the radius of the earth is 3960 miles. A point P on the surface of the earth is 1500 miles…

A: Assume that 1500  mile north is the straight line distance, not the      arc length.…

Q: A part of the pole in the diagram was marked 3m high when the angle of elevation was set at 20. Its…

A: Given

Q: A cable is attached to the top of a pole and mounted to the ground 6 feet from the base of the pole.…

A: On solving this we will get:-  The height of the pole =12.9 feet

Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

A:

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

Q: From the top of a 45-m high building, an observer sees a car heading toward the building at an angle…

A: AB = height of the building = 45 m   The first angle of depression, ∠EAC =∠ACB = 15°   As the car…

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 61°.…

A:

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.