A fountain of water is located at the center of a circular pool. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 16.5 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation at the bottom of the fountain to be 55.0°. How high is the fountain?

Q: A vector has a bearing of 56.1° and a magnitude of 729.6. A second vector has a bearing of 315.2°…

A:

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

A: Given: Surveyor move along with the river (AB) = 100 m. Horizontal angle (θ) = 35

Q: A farmer has a rectangular field. He leaves a uniform strip (x in the figure ) unplanted around the…

A: The area of the field is twice of the area planted Therefore the area of the field is given as…

Q: A room has dimensions 2.31 m (height) × 5.45 m × 6.78 m. A fly starting at one corner flies around,…

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: While exploring a cave, a speleologist starts at the entrance and moves the following distances in a…

A: A speleologist start at the entrance and moves 75.0 m north, 290.0 m east, 125.0 m at the an angle…

Q: You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north…

A:

Q: A chimpanzee sitting against his favorite tree gets up and walks 30.2 m due east and 54.7 m due…

A:

Q: A room has dimensions 2.44 m (height) × 5.76 m × 6.24 m. A fly starting at one corner flies around,…

A: Given, A room has dimension, 2.44 m×5.76 m× 6.24m

Q: A car starts from the origin and is driven 1.25 km south, then 8.75 km in a direction 57° north of…

A: Given value--- firstly driven 1.25 km south, then 8.75 km in a direction 57° north of east. We…

Q: A room has dimensions 2.58 m (height) x 4.29 mx 6.35 m. Afly starting at one corner flies around,…

A: Given,A room has dimension,

Q: about the heights of the buildings, and your friend claims thất the height of his building is more…

A:

Q: Vector A has x and y components of -8.40 cm and 17.0 cm, respectively; vector B has x and y…

A:

Q: Vector A has a given magnitude of |A|=6.5 and points due east. Vector B, of unknown magnitude,…

A:

Q: Vector V₁ has a magnitude of 3.47 and points along the positive x-axis. 1 Vector V₂ has a magnitude…

A: The objective of the question is to find the magnitude of the vector sum of two vectors V1 and V2.…

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

A: Consider a right angled triangle. Here, tan theta is the ratio of opposite side to the adjacent side…

Q: Vector A is 2.8 meters and is 60 degrees above the x axis in the first quadrant. Vector B is 1.9…

A: Given that A is 2.8 meters and is 60 degrees above the x axis in the first quadrant. Vector B is 1.9…

Q: two points are given in polar coordinates by  (r, ?) = (2.20 m, 50.0°)  and  (r, ?) = (3.00 m,…

A:

Q: A Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three…

A:

Q: Vector A has components A, = 1.40 cm, Part C Ay = 2.35 cm; vector B has components B = 4.20 cm, By =…

A:

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

A:

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: Two identical pucks, A and B, slide over a level ice floor without friction. Initially, puck B is…

A:

Q: Starting at a tree in a flat pasture you walk 20.0 m due south and then 40.0 m in a direction of…

A:

Q: The loading ramp at a delivery service is 15 ft long and makes a 19.0° angle with the horizontal. If…

A: First loading ramp delivered service = 15f And make angle = 19°

Q: spelunker is surveying a cave. She follows a pas- sage 180 m straight west, then 210 m in a…

A:

Q: Acos = x Asin = y why is it in this problem there is the presence of sin in x and cos in y?…

A: Given, A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

Q: The path of a baseball after being hit is modeled by f(x) = −0.007x2 + x + 4, where f(x) is the…

A: The baseball’s path can be described as, Here, x denotes the horizontal distance.

Q: A fence is built in the shape shown by the figure. The fence encloses a square area of side s plus a…

A: Write the formula for the area of the fence.

Q: 4. Nadia walks 4.0 km in one direction and 2.0 km in another direction. However, she ends up only…

A: Given that,s1=4 kms2=2 kms=3 kmangle, θ=?

Q: A miner in the underground tunnel walks 59 m due East, 115 m due South and 83 m due West. What was…

A: In the given question, given that a miner walks 59m due east, 115m due south and 83m due west in the…

Q: 6. For the cellar of a new house, a hole is dug in the ground, with vertical sides going down 2.40…

A:

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: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

A: Given data Vector A = 3 points in +ve x direction Vector B, 4 units in the direction of 37 o from…

Q: A spelunker is surveying a cave. She follows a passage 180 m straight west, and then 210 m in a…

A:

Q: Patricia climbs a 15-meter tower to ride a straight water slide. After landing in the splash pool,…

A:

Scalars and Vectors

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