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
Sauron [17]
3 years ago
11

You have climbed to the top of a tall tree. When you get to the top, you use your clinometer to discover that the angle between

the tree and the line of sight to your red lunchbox is 30°. You know you left the lunchbox 20 meters from the base of the tree. How tall is the tree?
A. 75.36 m
B. 92.09 m
C. 20.17 m
D. 51.25 m
E. 18.95 m
F. 34.64 m

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0

Answer:

F. 34.64 m

Step-by-step explanation:

The measurements given in the question are;

The angle (of depression) given by the clinometer, θ = 30°

The horizontal distance of the lunchbox from the tree, d = 20 meters

The height (how tall) of the tree = Required

Let the height of the tree be assumed to be perpendicular to the ground, noting that the horizontal distance from the lunchbox to the tree is a straight line, let <em>l</em> represent the line of sight from the top of the tree to the lunchbox, and let <em>h </em>represent the height of the tree we have;

The line of sight to the lunchbox, <em>l</em>, the height of the tree, <em>h</em>, and the horizontal distance of the lunchbox from the base of the tree form a right triangle

The height of the tree is the adjacent leg to the given angle by the clinometer

Using trigonometric ratios, we have;

tan(30°) = d/h

∴ tan(30°) = (20 m)/h

h = (20 m)/tan(30°) ≈ 34.64m

The height of the tree, h ≈ 36.64 m.

You might be interested in
You have 5 pieces of wood. What is the total length of the wood? 73cm, 1.6m, 2.87m, 325cm and 4.04m
skad [1K]
First, you need to make sure that they're in the same measurement ration

1 m = 100 cm

so, now you have

73 cm + 160 cm + 287 cm + 325 cm + 404 cm

The total length would of all the wood would be be 1249 centimeters  or 12.49 meter 
8 0
3 years ago
What is the answer to 0.5(2x + 8) = x - 4
svp [43]

0.5(2x+8) = x-4\\\\\implies \dfrac 12 (2x+8 ) = x-4\\\\\implies  2x+8 =  2x-8\\\\\implies 8=-8\\\\\text{Which is not true, so there are no solution.}

5 0
2 years ago
One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?
lidiya [134]

Answer:

  7, 4, 3

Step-by-step explanation:

Using Descartes' rule of signs, you can determine there are zero negative real roots. The above answer choice is the only one with no negative zeros listed.

_____

The count of negative real roots is based on the number of sign changes when the signs of odd-degree terms are reversed. Doing that gives the signs of the terms as  - - - -, so there are no changes. That means there are no negative real roots.

A graphing calculator confirms this choice.

6 0
3 years ago
Read 2 more answers
Can someone please help me thank you so much
Naya [18.7K]
3. Y=2x+3
4.y=3x+18
I hope I was helpful
6 0
3 years ago
In the movie theater there are 1000 seats. 850 of the seats were sold, what percent of the seats were empty?
FrozenT [24]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Here's the solution ~

Number of empty seats is equal to ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:1000 - 850

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:150

Percentage of empty seats is ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{150}{1000}  \times 100

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{150}{10}

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: {15}{}   \%

6 0
2 years ago
Read 2 more answers
Other questions:
  • If you take 5% away from $1047.75 what is the answer
    9·2 answers
  • Find an equivalent expression to 3(4m-2)-2(m+5)
    12·1 answer
  • What is the answer to this question ?
    9·1 answer
  • McKenna wants to divide 48.6 by 0.7. In order to estimate the quotient, which is the best expression to use?
    8·2 answers
  • Passage : ( -5/6) + 2/4
    5·1 answer
  • –24 + 12d = 2(d – 3) + 22
    6·2 answers
  • For a new customer a video store charges $10 for rental card plus $2 per movie. If a new customer is charged $22 how many movies
    7·2 answers
  • 1. If the spinner below is spun once, find each <br> probability.
    10·1 answer
  • The aos of x=2?????????
    9·1 answer
  • Find the sum of the following series. Round to the nearest hundredth if necessary,
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!