4) Jose needs to put together a staircase going from the first floor of his store to the basement. He measures the height from the floor of the basement to the first floor at 10 feet (total rise). He then measures the horizontal distance the stairs will travel from beginning to end to be 15 feet (total run). (a) What will be the angle of the staircase? (b) What length will the steps need to cover (hypotenuse)?

Q: If q1 = q2 = q3 = q4 = 5nC are located on the corners of a square of length 25 cm, find the…

A: Given : Charges located on the corners of a square is                        Length r = 25 cm = 0.25…

Q: find the angle between two vectors, 6 and 8units long, when their is 10 units long and 4 units long

A: Use cosine theorem When 10 units long a = 6 , b = 8 and c= 10 (10)2  = (6)2 + (8)2 + 2×6×8 cosA  100…

Q: A force Vector has a magnitude of 100N directed at an angle of 30deg above x - axis, calculate the…

A: Given : F = 100 N θ = 30°

Q: O The speed in km/min equal to 78.0 mi/h O The area in ft? of a rectangle with sides 18.6 m and 3.82…

A:

Q: The length of the slope of a mountain is 2500 m, and it makes an angle of 14.8° with the horizontal.…

A:

Q: Given vectors A = (3i + 9j – 4k) lb and B = – 4î – 73 + 10k ) lb, find the magnitude of - resultant…

A: Vector A = 3i^ + 9j^ - 4k^ lb Vector B = -4i^ -7j^ + 10k^ lb

Q: In the formula = qu x B: OF must be perpendicular to but not necessarily to OF must be perpendicular…

A: The formula for magnetic force is given by F→=qv→×B→ where q is the magnitude of charge, v is the…

Q: rmine the smallest angle between vectors D and C, and smallest angle between vectors D and B

A: The vector diagram of four vectors A, B, C & D respectively is drawn below:- Now angle break…

Q: magnitude of the resultant force

A:

Q: A certain lake is proposed as a landing area for large jet aircraft. The touchdown speed of 122…

A: Given data The touchdown speed upon contact is v1 = 122 mi/hr. The reduced speed of water is v1 = 18…

Q: If B→ is added to C→=7.7î+7.9ĵ, the result is a vector in the positive direction of the y axis,…

A: C = 7.7 î + 7.9 ĵ Resultant is along Y axis and magnitude is equal to C.

Q: If three vectors sum up to zero, what geometric condition do they satisfy?

A: Vector sum is zero

Q: A baseball pitcher throws a ball at 94.0 mi/h in the horizontal direction. How far does the ball…

A:

Q: Draw and find the sum of the following four vectors in (a) unit-vector notation, and as (b) a…

A:

Q: The y-component of a vector having length 150 m at an angle of 30° with x-axis will be equal to..

A: vector, R  = 150 m  Angle, A = 30 degree from + X axis

Q: Vector ở has a magnitude of 3 units and it creates an angle of 160° with the positive x-axis. Find…

A:

Q: Find the angle between the following pairs of vectors: A= -2.00i + 6.00j and B= 2.00i - 3.00j

A:

Q: The components of a vector are Ax = 2.9 and Ay = 5.3, and the components of a vector are given are…

A: Given data: Vector A=Ax+Ay ⇒ A=2.9 x + 5.3 y         (1) Vector B=Bx+By ⇒ B=7.7 x -10 y…

Q: How many of the vectors have a horizontal component other than 0?

A: In the given diagram, d2  vector is acting along y-axis. Hence, its horizontal component is 0. For…

Q: Vector B ⃗ is 5.0 cm long and vector A ⃗ is 4.0 cm long. Find the angle between these two vectors…

A:

Q: Let B = 4.80 m at 60.0°. č and A have equal magnitudes. The direction angle of č is larger than that…

A:

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Let's first start by finding the x and y components of each vector. Vector 1: 12.0m at 27.0-degrees…

Q: Can the component of a vector be greater than vector itself?

A: Consider a vector R as shown below.

Q: The x-component of the unit vector from the point A(-2, -3) to the point B(-1, 6), is:

A:

Q: The magnitude of a given vector with end points (4, - 4, 0) and (- 2, – 2, 0) must be (а) 6 (b) 5/7…

A: Given--- ends coordinate of a vector-    A ( 4,-4,0 )   and     B ( -2,-2,0 ) We have to find---…

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 horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What i: the…

A:

Q: If the vector = 5 N and the angle with x-axis is ?= 36.80, then the rectangular form of the vector…

A: Given,Magnitude of the vector, R = 5 NAngle with the horizontal or with x - axis, θ = 36.80°

Q: If |A x B| = A-B, what is the angle between A and B?

A: We know, A→×B→=A→B→sinθ    A→·B→=A→B→cosθ

Q: Find the magnitude of the vector whose x- and y-components are given to be 4.7566 and -4.7704,…

A:

Q: A ball is released from rest at the top of an incline whose height 16.1 centimeters and base 116.6…

A:

Q: A kid stands 6.00 m from the base of a flagpole which is 8.00 m tall. Determine the magnitude of the…

A:

Q: The lowest possible value of the resultant of two vectors results when the vectors are parallel. It…

A:

Q: If θ = 60° and F = 450 N, determine the magnitudeof the resultant force and its direction,…

A: Given data The first force is, F = 450 N  The second force is, F1= 700 Nange made by first vector…

Q: You are given two vectors A = (6.0 m). - (1.0 m)Y and B = (3.0 m)â + (7.0 m)ŷ. All angles measured…

A:

Q: Consider a Vector A =2î – 2 + 6k and another vector B=13î + 73 – 4.5k. Both of them has unit of…

A:

Q: Find the sum of the following four vectors (a) and (b) for x and y components respectively), and a…

A:

Q: For two vectors to give a maximum resultant, the angle between them should be   a. 90 degrees b. 45…

A:

Q: The length of the slope of a mountain is  2690  m,  and it makes an angle of 10.0° with the…

A:

Q: Two vectors vector A and vector B have precisely equal magnitudes. In order for the magnitude of…

A: Magnitude of A + B is 110 times the magnitude of A – B. Therefore,

Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…

A: The given condition is,

Q: If the x-component of a vector is 3m and the y-component of the same vector is 4m, then what is the…

A:

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What is the…

A: Given data- Horizontal component=23.6 N vertical component=34.8 N

Q: Find the direction cosines of the vectors whose direction Ratios are (3, 4, 5) and ( 1, 2, -3).…

A:

Q: Two points are given in polar coordinates by  (r, θ) = (1.80 m, 50.0°)  and  (r, θ) = (4.00 m,…

A: