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
SIZIF [17.4K]
3 years ago
5

An observer, whose eyes are 1.98 m above the ground, is standing 39.2 m away from a tree. The ground is level, and the tree is g

rowing perpendicular to it. The observer's line of sight with the treetop makes an angle of 20.9° above the horizontal. How tall is the tree?

Mathematics
1 answer:
lozanna [386]3 years ago
5 0

Answer:

The tree is 16.25 m tall.

Step-by-step explanation:

Attached is a diagram that better explains the problem.

From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.

To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.

Using SOHCAHTOA trigonometric function:

tan(20) = x/39.2

=> x = 39.2 * tan(20)

x = 39.2 * 0.364

x = 14.27m

Hence, the height of the tree is:

(14.27 + 1.98)m

16.25m

The tree is 16.25 m tall.

You might be interested in
What is the slope of A and B
tino4ka555 [31]
1/3 rise=1 run=2. Therefore the answer is 1/3
3 0
3 years ago
What are the x-coordinates of the solutions to this system of equations?
Vikentia [17]
X equals 4 because 2 times 2 equals 4 and then 4 times 4 =16
6 0
3 years ago
Bill took out a $125,000.00 mortgage on a lake house. The bank charged 2 points at the closing. The points amounted to
juin [17]

<span>$2,500.00 would be your answer
</span>


7 0
3 years ago
What is the value of Variable g in this equation<br><br> G^3=729
vladimir2022 [97]

Answer:

\sqrt[3]{g }  =  \sqrt[3]{729}

g = 9

7 0
2 years ago
Read 2 more answers
Which equation is represented by the graph below
notsponge [240]

Answer:

y=ex+4 ok hope you get it right

8 0
2 years ago
Other questions:
  • Sara went to lunch with her friends .the sandwhich she bought cost 4.95 if the tax rate was 7.5% what is the total cost
    11·1 answer
  • What are the similarities between reflections translations rotations and dilations?
    6·1 answer
  • Pls help me solve this
    9·2 answers
  • PLEASEEEE HELLPPPPPP
    9·1 answer
  • You earn $30 for washing 5 cars.how much do you want for washing 3cars
    9·2 answers
  • Does this graph represent a proportional relationship?<br> Explain.
    15·1 answer
  • A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight?
    14·1 answer
  • Round 452.196 to the nearest tenth
    13·1 answer
  • Pls can u tell me the answer for this and clue: it end with the cm 2 thing
    10·1 answer
  • What is the slope of the line that passes through the points (9, -5) and (1, -1)? Write your answer in simplest form.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!