Q2/ In field work, vertical angles was measured from station A to stationsB.C, as show in table below, if the height of instrument at point A is (1.3m)and the elevation at same point is (25m), calculate the elevations of otherspoints if know the horizontal distances for points B, C, are 80, 120, mrespectively.stationObserved pointVertical angleF.LF.RB97° 27 50"262° 32 36"A93° 27 14"266° 32 18"ث إضافة ملف

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Answered: Q2/ In field work, vertical angles was…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section: Chapter Questions

Problem 2T

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Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle with the horizon. The tower is 75 meters high, and guy wires are to be attached two-thirds of the way up the tower. If the guy wires are anchored 30 meters up the hill and 35 meters down the hill from the bottom of the tower, find the length of the guy wires.
4. In the Residential Infrastructure area, buildings are planned with a height of 30 meters. Calculate the angle of depression someone would make from the top of a building to the water fountain on the ground 20 meters away from the building. (3 marks) 5. In the Commercial Zones, a square courtyard is designed with sides of 45 meters. Calculate the length of the shadow cast by a structure in the courtyard when the sun is at an angle of 30 degrees from the ground.
Jose is sitting in a tree, so that his eyes are 3.2 m above the ground. When he looks down at an angle of depression of 42°,he can see his cat sitting in the yard. What is the horizontal distance from the base of the tree to Jose's cat?
The communities of Wood Town and Green Village live in a valley. Communication between the two communities is enhanced by a repeater station on the summit of a nearby mountain. It is known that the angles of depression from the repeater station to Wood Town and Green Village are 44.6° and 58.2°, respectively. Also, the horizontal distances from the repeater to Wood Town and Green Village are 1.35 km and 1.04 km, respectively. a Find the vertical height, to the nearest metre,between the repeater station and:i Wood Town ii Green Village. b Find the difference in height between the two communities, to the nearest metre.
An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly over a straight road connecting two coastal towns X and Y, the angles made by these towns with the vertical were 30° and 60°, respectively. When he flew back directly over the same road for the second observation, his altimeter indicted that he was 1100 meters higher and noted that both towns made an angle of 45° with the vertical. a. What is the distance between the towns, in kilometers.b. How high is the airplane when the first observation was made?c.
A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 34°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 39°. At that time, what is the distance between him and his friend?
Two sensors are spaced 400 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 30* and from the second sensor to the aircraft is 25*. Determine the exact value of the height x of the aircraft at this time.
A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 36°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 39°. At that time, what is the distance between him and his friend? (Round to the nearest foot
A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 31°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 33°. At that time, what is the distance between him and his friend? (Round to the nearest foot.) _______ ft
A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to have a rooftop patio with a view of the ocean. Another building, in between the new building and the ocean, is located a distance of 180 feet from the ocean and has a height of 15 feet. The angle of elevation from the ocean to the top of the new building, θ, represents the minimum angle for a person on the rooftop to view the edge of the ocean.
Find the angle between two lines having slopes of 1, and 1/2 respectively.
A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 39°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 31°. At that time, what is the distance between him and his friend? (Round your answer to the nearest whole number.)

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