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
Dafna1 [17]
3 years ago
15

Mr.Hall stands 200 meters from the base of the water tower. He finds the angle of elevation to the top of the water to be 27 deg

rees. What is the hight of the tower?

Mathematics
1 answer:
love history [14]3 years ago
8 0

Height of the tower = 101.9 m

Solution:

Given data:

Angle θ = 27°

Adjacent side = 200 m

Opposite side = Height

Let height be taken as h.

The given image shows it is a right triangle.

Using basic trigonometric ratio formulas,

$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}

$\tan27^\circ =\frac{{ h}}{200}

The value of tan 27° = 0.5095

$0.5095 =\frac{{ h}}{200}

Do cross multiplication, we get

0.5095 × 200 = h

101.9 = h

Height of the tower = 101.9 m

You might be interested in
Write a quadratic function f whose zeros are -3 and -4
dlinn [17]

Answer:

Step-by-step explanation:

Zeros α = -3 and β = -4

Quadratic equation: x² - (α + β)x + αβ = 0

x² - (-3-4)x + (-3)*(-4) = 0

x² - (-7)x + 12 =0

x² + 7x + 12 = 0

7 0
3 years ago
What is the equation in point-slope form that represents the line going through (1,3) and (4,6)
Darya [45]
We have the slope m = (6-3)/(4-1) = 3/3 = 1;
Then, y - 3 = 1·( x - 1);
finally, y = x + 2.
3 0
3 years ago
An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with _______ exactly one
Dafna11 [192]

Answer:

exactly one, 0's, triangular matrix, product and 1.

Step-by-step explanation:

So, let us first fill in the gap in the question below. Note that the capitalized words are the words to be filled in the gap and the ones in brackets too.

"An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with EXACTLY ONE of the (0's) replaced with some number k. This means it is TRIANGULAR MATRIX, and so its determinant is the PRODUCT of its diagonal entries.​ Thus, the determinant of an elementary scaling matrix with k on the diagonal is (1).

Here, one of the zeros in the identity matrix will surely be replaced by one. That is to say, the determinants = 1 × 1 × 1 => 1. Thus, it is a a triangular matrix.

3 0
3 years ago
Is 0.71428571428 a rational number
Alex787 [66]
No, since it a repeating(terminating) decimal, so it is not a rational number.

5 0
3 years ago
Read 2 more answers
Explain how to graph the following including asymptotes and key features. f(x)=3^x+2
sattari [20]

Answer:

y=2

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • North Carolina: 79.6 years
    15·1 answer
  • If the distance between opposite numbers on a number line is 10 units, what are the opposite numbers?
    12·1 answer
  • Y=x^2-2x-5;y=x^3-2x^2-5x-9
    5·1 answer
  • There are 3 ruby throated hummingbirds and two of another type at the feeder. The birds have a mass of 23 grams in all. What oth
    10·1 answer
  • How many roots of f(x) are rational numbers?
    9·1 answer
  • The high temperature on a cold winter day was 20°F and the low temperature was –15°F. How much higher was the high temperature t
    13·1 answer
  • The coordinates of A on a grid are (-2,-4.Point A is reflexed across the y-axis to obtain.The coordinates of point B are?
    13·1 answer
  • I had 3 apples. I add 2 more apples. How many apples do I have?
    6·1 answer
  • What are the Terms for 8x+6
    5·1 answer
  • Examine △ABC shown below.<br><br><br><br><br> What is the measure of angle B?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!