A woman measures the angle of elevation of a mountaintopas 12.0°. After walking 1.00 km closer to the mountainon level ground, she finds the angle to be 14.0°. Find themountain’s height, neglecting the height of the woman’s eyesabove the ground. Hint: Distances from the mountain (x andx -1 km) and the mountain’s height are unknown. Draw twotriangles, one for each of the woman’s locations, and equateexpressions for the mountain’s height. Use that expression tofind the first distance x from the mountain and substitute tofind the mountain’s height.

Q: The sum of three vectors is a vector of magnitude 5.83 oriented at an angle of 310 with respect to…

A: Given:- Three vector  a →=2.0 b→=1.0 R→=5.83θ=31° Find:- The third vector

Q: Vector A has a magnitude of 41 units and points in the positive y direction. When vector B is added…

A:

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: What is the y component, Ay of the vector A shown in the graph below? The magnitude of the vector is…

A:

Q: Vector A has a magnitude of 23 units and points in the positive y-direction. When vector B is added…

A: A→+B→=-1523+B→=-15B→=-15-23=-38 unit

Q: Consider the vector whose x-andy-components are given to be 2 4681 and -4.0584 respectively. Find…

A:

Q: A vector has a component of 6.9 m in the +x direction, a component of 2.8 m in the +y direction, and…

A:

Q: Find the components of the vector A⃗  with length a = 1.00 and angle α=20.0 ∘ with respect to the x…

A: The equation for the magnitude of the x component of the vector is given by

Q: A right triangle has a hypotenuse of length 3.00 m, andone of its angles is 30.0°. What are the…

A: Given,Hypotenuse = 3.00mOne of its angle = 30.0o

Q: Three players on a reality TV show are brought to the center of a large, flat field. Each is given a…

A: What does she calculate?Given,displacements:A: 72.4 m, 32.0˚ east of north  B: 57.3 m, 36.0˚ south…

Q: Express F as a vector in terms of the unit vectors i, j, and k. Determine the angle between F and…

A:

Q: If a vector has a x-component = - 53.7 m and a y- component = -12.3 m, what is the direction of the…

A: The vector diagram for the provided vector is:

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

A:

Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 5.0 m and points 30°…

A: Given data The magnitude of the vector A is 8 m. The magnitude of vector B is 5 m and points 30°…

Q: Vector A has magnitude 3.0 m and points to the right; vector B has magnitude 4.0 m and points…

A:

Q: X (1): Find the magnitude of the angle that makes the value of the resultant Ib 2000, and also…

A: Here it is given that the resultant of the vector is 2000lb.Again the two vectors are 1400 lb and…

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

A:

Q: If F1, stands for a force vector of magnitude 30.0 N and F2 stands for a force vector of magnitude…

A: The magnitude of resultant force vector of two force vectors F1 and F2 , is calculated using cosine…

Q: Add the following component vectors and determine the resultant. (You might want to draw them).…

A:

Q: Add the following component vectors and determine the resultant. (You might want to draw them).…

A:

Q: . The displacement vector A has a length of 50 m and a direc- tion of 30° east of north; the…

A:

Q: Vector A has a magnitude of 6 units, vector B has a magnitude of 7 units, A dot B has a value of 14.…

A: Given data The magnitude of vector A is given as A=6 units. The magnitude of the vector B is given…

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

A:

Q: Add the following Forces graphically and analytically to find the resultant vector, the magnitude of…

A:

Q: The magnitude of a vector is 23.5 units and points in the direction 350 degrees counterclockwise…

A:

Q: The polar coordinates of a certain point are (r = 4.30 cm, θ = 214°). (a) Find its Cartesian…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: In three vector shapes given. As seen here | a | = 20 units | B | = 40 units and | c | = 30 units.…

A: | a | = 20 units | B | = 40 units and | c | = 30 units Write the vectors in the components form  A→…

Q: polar angle of point

A:

Q: 'mres In the following problem all angles are measured counter-clockwise from the positive x-axis.…

A: Given Data : The magnitude of vector A is given as A = 11.5. The direction of vector A is given as…

Q: Vector A has a magnitude of 34 units and points in the positive y direction. When vector B is added…

A:

Q: Grade, In a right triangle, a a. cose = b b. coso = a d. sine = b. C. sin0 =. C 5. In the Cartesian…

A:

Q: A vector is added to The resultant vector is in the negative (-y) direction and has a B = 5î – 103.…

A: Let A→ = Axi^ + Ayj^B→ = 5i^ - 10j^Let resultant (R→) = -Ry j^

Q: Vector A has a magnitude of 40 units and points in the positive y direction. When vector i is added…

A:

Q: b. v = 25 [N15°E] S N 15% = 25 m/s E

A: Given data: The velocity, v=25 m/s Direction, θ=150 NE Our question is to find the components of…

Q: In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from…

A:

Q: Vector A has a magnitude of 36 units and points in the positive y direction. When vector B is added…

A: The magnitude of vector A, A→=36 j^   The magnitude of vector A+B, A→+B→=-28 j^

Q: Vector A has magnitude 27 and direction 168°. Vector B has magnitude 39 and direction 270°. Find…

A:

Q: A 15-meter ladder is resting against a wall and makes an angle of 40 degrees with the ground. Find…

A:

Q: Using graphical approach in vector additon and a scale of 1cm:0.5Km, what is the resultant vectors…

A: Here we have given graphical sacale 1cm : 0.5km That 1cm is equivalent to 0.5km.

Q: A horse starts at x; = 7.5 m and finishes at xf = 17.5 m. The correct %3D answer for the…

A:

Q: Vector A has x and y components of -9.00 cm and 18.0 cm, respectively; vector B has x and y…

A: Given data:  The components of vector A and B Ax = -9.00 cm,  Ay = 18.0 cm Bx = 12.8 cm,   By =…

Q: A vector A has the following components, Ax = %3D 5.1 cm; Ay = 2.9 cm. What is the direction of this…

A: The direction of a vector is the measure of the angle it makes with the horizontal direction. If we…

Q: A woman measures the angle of elevation of a mountaintop as 12.0∘ . After walking 1.00 km closer to…

A: The most significant definitions that are used when dealing with heights and distances are given as:…

Q: Help solve for two part question A) Cross Product, rectangular coordinates: If A = 7 i + -6 j and B…

A: Given   A1 = 7 i + -6 j  B1 = 2 i + 0 j,  A2 = 4 < 29  = 4( cos(29) i +sin(29) j ) B2= 9 < 52…

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

A: We need to calculate the width of the river given the information collected by the surveyor.

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.