1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elden [556K]
3 years ago
10

A 200-foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevatio

n to the top of the monument is 13°, and that the angle of depression to the bottom of the tower is 4°. How far is the person from the monument? (Round your answer to three decimal places.)
Physics
1 answer:
egoroff_w [7]3 years ago
7 0

Answer:

665 ft

Explanation:

Let d be the distance from the person to the monument. Note that d is perpendicular to the monument and would make 2 triangles with the monuments, 1 up and 1 down.

The side length of the up right-triangle knowing the other side is d and the angle of elevation is 13 degrees is

dtan13^0 = 0.231d

Similarly, the side length of the down right-triangle knowing the other side is d and the angle of depression is 4 degrees

dtan4^0 = 0.07d

Since the 2 sides length above make up the 200 foot monument, their total length is

0.231d + 0.07d = 200

0.301 d = 200

d = 200 / 0.301 = 665 ft

You might be interested in
Two blocks are connected by a light string that passes over two frictionless pulleys. The block of mass m2 is attached to a spri
irina1246 [14]

(BELOW YOU CAN FIND ATTACHED THE IMAGE OF THE SITUATION)

Answer:

d=\frac{2g(m1-m2)}{k}

Explanation:

For this we're going to use conservation of mechanical energy because there are nor dissipative forces as friction. So, the change on mechanical energy (E) should be zero, that means:

E_{i}=E_{f}

K_{i}+U_{i}=K_{f}+U_{f} (1)

With K_{i} the initial kinetic energy, U_{i} the initial potential energy, K_{f} the final kinetic energy and U_{f} the final potential energy. Note that initialy the masses are at rest so K_{i} = 0, when they are released the block 2 moves downward because m2>m1 and finally when the mass 2 reaches its maximum displacement the blocks will be instantly at rest so K_{f} =0. So, equation (1) becomes:

U_{i}=U_{f} (2)

At initial moment all the potential energy is gravitational because the spring is not stretched so U_{i}=U_{gi} and at final moment we have potential gravitational energy and potential elastic energy so U_{f}=U_{gf}+U_{ef}, using this on (2)

U_{gi}=U_{gf}+U_{ef} (3)

Additional if we define the cero of potential gravitational energy as sketched on the figure below (See image attached), U_{gi}=0 and we have by (3) :

0= U_{gf}+U_{ef} (4)

Now when the block 1 moves a distance d upward the block 2 moves downward a distance d too (to maintain a constant length of the rope) and the spring stretches a distance d, so (4) is:

0=-m1gd+m2gd+\frac{kd^{2}}{2}

dividing both sides by d

0=-m1g+m2g+\frac{kd}{2}

g(m1-m2)= \frac{kd}{2}

d=\frac{2g(m1-m2)}{k}, with k the constant of the spring and g the gravitational acceleration.

7 0
3 years ago
A tennis ball is tossed upwards into the air with an initial velocity of +5m/s, how much time does it take for the tennis ball t
Sever21 [200]
HOPE THIS HELPS YOU!!!!!

3 0
3 years ago
What is the acceleration aaa of the refrigerator 4 ss after the person begins pushing on it with a force of 400 NN
ruslelena [56]

Answer:

2 ms^2

Explanation:

Given that the mass of the refrigerator  is 200Kg

The net force acting on the refrigerator is 400N

The time takes is 4s

From Newtons's second law of motion;

F =ma

a = F/m

a = 400/200

a = 2 ms^2

This is a constant acceleration

3 0
3 years ago
What is a mechanical wave?
Anika [276]
A wave that is oscillation of matter.. such as a water ripples
7 0
3 years ago
Read 2 more answers
Protons, neutrons, electrons, and a nucleus are
tatuchka [14]
It would be Atoms, they’re all made up of these tiny particles
8 0
3 years ago
Other questions:
  • (a) calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff
    13·1 answer
  • The unit for measuring the rate at which light energy is radiated from a source is the
    5·1 answer
  • A stack of bricks weighs 170 KN (Kilo-newtons). The stack exerts 180 KPa (Kilo-pascals) of pressure on the ground. What is the a
    15·1 answer
  • A ball is thrown with a velocity of 40 m/s at an angle of 30° above the horizontal and attains a certain range R. At what other
    14·1 answer
  • In what form does carbon return to the atmosphere after it is released from the burning of fossil fuels
    6·1 answer
  • ~*~WILL GIVE BRAINLIST~*~
    5·1 answer
  • If gravitational pull got three times stronger what happens to your weight?
    15·2 answers
  • What types of energy is used to make a lamp work
    9·1 answer
  • ? What is the difference between the Primitive cell and convectional cell
    5·1 answer
  • A combustion reaction is represented by __________________.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!