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
Paladinen [302]
3 years ago
6

A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck

on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
5 0

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

You might be interested in
Find the lengths of the segments with variable expressions.
Luba_88 [7]

Answer:

Step-by-step explanation:

By the trapezoid midsegment theorem,

2x = (x-6) + (2x-8)

2x = x - 6 + 2x - 8

2x = 3x - 14

x = 14

So we know AD = 8, EF = 14, and BC = 20

8 0
2 years ago
Question 2 (1 point) (11.01 MC) Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?
maw [93]

Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

8 0
3 years ago
10. When a rubber ball is dropped from a height, h cm on to a flat concrete floor, it rebounds to 3 5 h cm a height of Given a r
Xelga [282]

Step-by-step explanation:

Let the height above which the ball is released be H

This problem can be tackled using geometric progression.

The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is

To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H

a=2H..........r=3/4

However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H

Therefore the total distance travel up to the Nth bounce is

For N=3 one obtains

D=3.625H

7 0
2 years ago
What is the slope of (3,5) and (1,3)
Maksim231197 [3]
(3,5)....x1 = 3 and y1 = 5
(1,3)....x2 = 1 and y2 = 3

slope formula : (y2 - y1) / (x2 - x1)
slope = (3 - 5) / (1 - 3) = -2/-2 = 1 <== slope is 1
7 0
3 years ago
Read 2 more answers
A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d
Alekssandra [29.7K]
Answer: option d. C (0,3), D (0,5).

Justification:

1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.

2) The y-coordinates of the  vertices A and B are also shown in the diagrama. They  are equal to 3 and 5 respectively.

3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.

That distance is 4, so the line may be y = - 7 or y = 0.

4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.

5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.



3 0
3 years ago
Read 2 more answers
Other questions:
  • Write the equation of a line that is perpendicular to the line y= (-1/5)x + 2 and has a y-intercept that is 5 units larger that
    15·1 answer
  • Which statement is true about the product 3(7square root of 4 + 2square root of 9? It is rational and equal to 60. It is rationa
    15·1 answer
  • An engine makes 4,800 revolutions in 12 minutes. At what rpm (revolutions per minute) is the engine rotating? 4,800 rpm 57,600 r
    8·1 answer
  • strip diagram shows the fractional parts of a trail dence completed. use the diagram to write a equation representing how you wo
    14·1 answer
  • Help fast please it's timed ​
    11·1 answer
  • Find the sales tax.
    9·2 answers
  • If m&lt;5 is 50 degrees then what is the measure of angle 7?
    12·1 answer
  • Please help me I need to turn in tomorrow please help!!!!
    8·2 answers
  • What is 30% of 24 If you answer this first you get 10 points
    15·2 answers
  • Answer number 7: Only number 7 please.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!