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FrozenT [24]
3 years ago
7

Can somebody help me please?

Mathematics
1 answer:
faust18 [17]3 years ago
3 0

Answer:

3 x 5 divided by 1/3

45

Step-by-step explanation:

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The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 deg
julia-pushkina [17]

Answer:

Approximately 101\; \rm ft (assuming that the height of the base of the hill is the same as that of the observer.)

Step-by-step explanation:

Refer to the diagram attached.

  • Let \rm O denote the observer.
  • Let \rm A denote the top of the tree.
  • Let \rm R denote the base of the tree.
  • Let \rm B denote the point where line \rm AR (a vertical line) and the horizontal line going through \rm O meets. \angle \rm B\hat{A}R = 90^\circ.

Angles:

  • Angle of elevation of the base of the tree as it appears to the observer: \angle \rm B\hat{O}R = 51^\circ.
  • Angle of elevation of the top of the tree as it appears to the observer: \angle \rm B\hat{O}A = 57^\circ.

Let the length of segment \rm BR (vertical distance between the base of the tree and the base of the hill) be x\; \rm ft.

The question is asking for the length of segment \rm AB. Notice that the length of this segment is \mathrm{AB} = (x + 20)\; \rm ft.

The length of segment \rm OB could be represented in two ways:

  • In right triangle \rm \triangle OBR as the side adjacent to \angle \rm B\hat{O}R = 51^\circ.
  • In right triangle \rm \triangle OBA as the side adjacent to \angle \rm B\hat{O}A = 57^\circ.

For example, in right triangle \rm \triangle OBR, the length of the side opposite to \angle \rm B\hat{O}R = 51^\circ is segment \rm BR. The length of that segment is x\; \rm ft.

\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}.

Rearrange to find an expression for the length of \rm OB (in \rm ft) in terms of x:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}.

Similarly, in right triangle \rm \triangle OBA:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}.

Equate the right-hand side of these two equations:

0.810\, x \approx 0.649\, (x + 20).

Solve for x:

x \approx 81\; \rm ft.

Hence, the height of the top of this tree relative to the base of the hill would be (x + 20)\; {\rm ft}\approx 101\; \rm ft.

6 0
3 years ago
Https://brainly.com/question/22781366 :( immmmmma fail
Goryan [66]

Answer:

2 dollars and 25 percent of the virgin stock market will hold a single hand

Yw pls mark me brainliest

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the answer to this question
rodikova [14]
The answer is 2
beacuse 1+1 is + to 2


5 0
3 years ago
PlZ HELP ME ITS URGENT<br><br>A.cannot be determined<br><br>B.47° <br><br>C.63°<br><br>D.70°​
Crazy boy [7]

Answer:

C.

Step-by-step explanation:

the second answer is correct

3 0
3 years ago
Read 2 more answers
8,9,8,11<br> Mean:<br> Median:<br> Mode:<br> Range
Finger [1]
Mean: add all numbers together and divide by the amount of numbers there are.
8 + 9 + 8 + 11 = 36
36/4 = 9
mean = 9

Median: Find the middle number. Since in this case it has an even amount of numbers, add the two middle numbers and divide by 2
8 + 9 = 15
15/2 = 7.5
median = 7.5

Mode: The number that shows up the most 
Mode  = 8

Range: Subtract the smallest number from the largest number
11 - 8 = 3
Range = 3

hope this helps
7 0
3 years ago
Read 2 more answers
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