An observer measured the angle of elevation of a mountain from a point on a level ground as 8.23 degrees. Moving 450 meters closer to the mountain, the angle of elevation is 9.44 degrees. All points are on the same vertical plane. What is the height of the mountain?

Q: Two points in a plane have polar coordinates (2.40 m, 40.0°) and (4.50 m, 110.0°). (a) Determine…

A: The cartesian coordinates of a point is given by ax = acosθ ay = asinθ, where a is the magnitude of…

Q: On a random Thursday morning, I driv Center near Millingport, a distance of 2 o the post office in…

A: First we represent the given data in a graph, Here O is home A is convenience center and B is the…

Q: You receive orders to sail due east for 24.6 mi to put your salvage ship directly over a sunken…

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Q: A 0.500 kg hammer is moving horizontally at 7.50 m/s when it strikes a nail and comes to rest after…

A: Given:Weight of hammer (M) = 0.5 kg.Horizontal velocity of hammer (u) = 7.5 m/sPenetration of nail…

Q: Suppose you walk 15 m in a direction exactly 23° south of west then you walk 19.5 m in a direction…

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Q: A person is standing at the edge of the water and looking out at the ocean (see figure). The height…

A: Given, Height of person,h=1.5 m Radius of Earth,R=6.38×106m

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

A: Solution: The location of the first team and the second team is given below. r1=36km 23°NWr2=34km…

Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: Starting from one point, a dog walks 25 m in a direction 60° south of west and then walks 50 m…

A: d1→ = 25 m (-cos60oi^ - sin60oj^)d1→ = -12.5i^ - 21.65j^ md2→  = -50 j^ m

Q: A plane flies 139.8 miles 53.00 degrees north of east. Then it flies 358.5 miles 12.00 degrees west…

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Q: An airplane needs to head due north, but there is a wind blowing from the southwest at 80 km/hr. The…

A: Draw the velocity diagram for the air and plane.

Q: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west…

A: From figure as shown in the question, the components with respect to vector A is

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

A:

Q: second team, what does it give for the second team's (a) distance from them and (b) direction,…

A:

Q: Suppose you walk 15 m in a direction exactly 19° south of west then you walk 25.5 m in a direction…

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Q: Donna walks 3 km north, and then turns east and walks 4 km. What is the distance

A: Distance along north= 3km Distance along east = 4km

Q: Suppose A = (-3.92 m)i + (3.66 m)j, B = (2.56 m)i + (-4.99 m)j + (2.05 m)k, and D = (-3.69 m)i +…

A: The vector A=-3.92i+3.66j. The vector B=2.56i-4.99j+2.05k. The vector D=-3.69i-3.85j.

Q: A person walks 35° south of west for 4.56 km. How far due west and how far due south does the person…

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Q: 3) An airplane is flying at a constant altitude of 22000 meters. When first seen to the east of an…

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Q: A boy was dropped, from a plane moving 120kph horizontally. If the height of the plane from the…

A:

Q: A yacht radioed a distress call to a Coast Guard station. From the time of the call, the boat was…

A:

Q: Suppose you walk 14.5m in a direction exactly 24 degrees south of west then you walk 18m in a…

A: According to the problem, α1=240,α2=420 Find components of displacement using the algebraic method…

Q: Fan runs 1.6km [S40°E], then 3.4km[W56°S], and finally 0.6km[N5°E]. What is his final displacement?…

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Q: You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West…

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Q: A two-legged robot is programmed so that upon switching it on, it will do a repetitive pair of…

A: Given: Let the length of each step be l. Total pair of steps is n=1000 Distance covered by robot is…

Q: MY NOTES ASK YOUR TEACHER Two geological field teams are working in a remote area. A global…

A:

Q: A map suggests that Atlanta is d, = 729 mi in a direction of 0, = 4.95° north of east from Dallas.…

A: Determine the x- and y-components of the displacement d as follows.

Q: A fishing boat leaves a marina and follows a course of S64°W at 9 knots for 20 min. Then the boat…

A: Let's calculate the distance and direction of the boat.Part 1: Distance covered = 9 knots * 20…

Q: The x-component of vector  R  is  Rx = −27.2  units and its y-component is  Ry = 31.4 units.…

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Q: A plane leaves Denver and travels 239 miles bearing N77 degrees W, then makes a course correction…

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Q: Two points in a plane have polar coordinates (2.5m,30°) and (3.80m,120°).Determine a) the Cartesian…

A: Given Two points in a plane have polar coordinates = (2.5m, 30°) and (3.80m, 120°)

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: Given that                  x = 110 m           and θ = 31.2°

Q: 6. ECP An airplane flies 200 km due west from city A to city B and then 300 km in the direction of…

A:

Q: A hiker begins from base camp by walking 2.5 km at an angle 41.8 degrees north of east. At this…

A: given, A=2.5 km @41.80 north of eastB=3.5 km @ 45.60 west of north

Q: Q3 (a) Express the position vector r=(x,y,z) into cylindrical co-ordinates(r,phi,z). Before…

A:

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.