At a horizontal distance of 45 m from a tree, the angle of elevation to the top of the tree is 26°. How tall is the tree? O 22m O 31m O 45m O 16m O 53m

Q: You measure the diameter of a drop of water to be 3 mm. Make an order-of-magnitude estimate of how…

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Q: Vector A = 4i. Different values for vector B are given below. Which does NOT make an angle of 60…

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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: vector has a magnitude of 72 and a direction of 56°. A second vector has a magnitude of 51 and a…

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Q: A vector is 10 units long and points at 30° with respect to the x-axis. How many units does it point…

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Q: Using the data presented in the drawing and that 8 = 44°, determine the y-components of the vectors…

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Q: There are ten steps from the sidewalk up to the front door of a student’s apartment. Each tread is…

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Q: In astronomy, a unit of distance is used called the Astronomical Unit. It is the average distance…

A: The given values with suitable variables are listed below. Here, c denotes the light speed and d…

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: The  x component of vector   is -2 units, and its  y component is 4 units. The angle that vector…

A: vector formula for finding the angle of resultant vector will be used here

Q: Hiker Harry walks 4 km east, then 7 km 25 degrees north of west. What is the magnitude and direction…

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Q: What is the angle between the vector A = +3i - 2i - 3k and the +y-axis?

A: Given:Vector are,A→=3i^-2j^-3 k^  ...(1)B→=Along y-axisB→=y^=j^  .... (2)We know,cosθ=A→.B→|A||B|…

Q: A person travels 35 m East and then 55 m in a direction that is 32° from the positive x axis.

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Q: Given p with magnitude of 40 and a direction of 25°, q with magnitude of 75 and a direction of 270°,…

A: let p = 40 and angle = 250 q = 75 and angle = 2700 p = 30 and angle = 2200

Q: graph of x vs. t4, with x on the vertical axis and t4 on the horizontal axis, is linear. Its slope…

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Q: A vector is given by its components x 2.5 m and y =7.5m. What angle does the vector make with the…

A: Given: x-component of a vector, Ax=2.5 m y-component of a vector, Ay =7.5 m   To determine angle…

Q: Starting from a tree you walk 15 m due north and then 50 m in the direction 53° south of west. What…

A: To find the distance needed to return to the tree, we need to find the resultant displacement from…

Q: Vector A = 10 m at 20 . Then vector - 2A is: 10 m at 200 degrees 20 m at 200 degrees 20 m at -20…

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Q: Vector A has a magnitude of 7 and points in the positive x-direction. Vector B has a magnitude of 22…

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Q: P= 120 lb 30° 70° 0 = 100 lb Using direction cosines, the vector P in the diagram can be expressed…

A: Given: The magnitude of the P is 120 lb. The angle of the P is 30o with positive x-axis.

Q: What angle does the vector 2 i – 2 j (i.e. x-component +2 and y- component -2) make with the x-axis?…

A: Solution-Given thatvector =2 i – 2 jThe given vector can be shown in xy plane,

Q: Vector a has magnitude 1/√3, vector b has magnitude 4, the angle between a and b is 60° and n is the…

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Q: A squirrel in a typical long glide covers a horizontal distance of 16 m while losing 8.0 m of…

A: We have to find the angle of the squirrel's path below the horizontal Given that the squirrel's…

Q: Ax this vector make with the positive x axis? Ay nat angle do -31° -121° 59° +121° -59° 31°

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Q: If a vector W has components W=-3.0 and Wy=4.0, what is the magnitude of the vector? Make sure your…

A: the vector W has the horizontal and vertical components which can be given as  Wx=3.0 Wy=4.0…

Q: The vector in the figure has a length of 4.0 units and makes a 30° angle with respect to the y-axis.…

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Q: Given two vectors a=3.2i-3.4j and b=6.7i+8.9j find the magnitude of the vector a+b, find the…

A: Given value--- a=3.2i-3.4j b=6.7i+8.9j We have to find---  find the direction of the vector a+b,…

Q: A Red Cross helicopter takes off from headquarters and flies 90 km in the direction 210° from North.…

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Q: The magnitude of A is 5.5. Vector A lies in the second quadrant and forms an angle of 34 degrees…

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Q: balloons in the drawing are 48.2 m and 61.0 m above the ground. A person in the left balloon…

A: Given h1 =48.2 m h2 = 61.0 m Angle of elevation  θ =13.3 0   difference in height h = h = h2 - h1  =…

Q: What is the angle above the x-axis (north of east) for a vector with components (15 m, 8 m)?

A: The objective of the question is to find the angle above the x-axis (north of east) for a vector…

Q: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…

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Q: -Problem 6: _Suppose you walk 14.5 m in a direction exactly 16° south of west then you walk 22.5 m…

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Q: Vector A has a magnitude of 10 units and makes an angle of 30 degrees counterclockwise from the…

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Q: A vector has an x-component of +5 m and makes an angle of 30° with the + x axis.  What is its…

A: A vector has an x-component of +5 m and makes an angle of 30° with the + x axis. Then it must have…

Q: The figure shows four vectors, A, B, C, and D, having magnitudes 8.0 m, 15.0 m, 12.0 m, and 4.0 m,…

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Q: Problem 1: Suppose A = (-3.03 m)i + (4.35 m)j, B = (2.71 m)i + (-4.29 m)j + (2.99 m)k, and D (-2.48…

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Q: what are the magnitude and angle of a vector with these components?  Bx= 7.8 m and By= 10.2 m

A: A vector is representation of a physical quantity having both magnitude and direction. It is…

Q: The Great Pyramid of Giza is 139 m tall, with a slope of 51.8°. If you were to climb the pyramid…

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Q: Vector A has a magnitude of 10 units and a direction angle of 14° measured counterclockwise positive…

A: magnitude of vector  A = 10 units angle = 140 from+x axis magnitude of  B = ?

Q: The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a…

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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.