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
Kruka [31]
2 years ago
7

I need help with B) C) and D) Please Help me!!!

Mathematics
1 answer:
fredd [130]2 years ago
6 0

Answer:

b is the right answer

Step-by-step explanation:

You might be interested in
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
Question 3 (Multiple choice) If 0
nikitadnepr [17]

Answer:

what on earth are you trying to ask

Step-by-step explanation:

  1. thank you for reading this
  2. and how do you time to read this
  3. okay it's time to go baiiiiiiiiii
7 0
3 years ago
What is the measure of<br> RST?
gayaneshka [121]

Answer:

D. 47

Step-by-step explanation:

7 0
2 years ago
PLEASE HELP ASAP NO LINKS PLEASE A relationship between education and income is given in the table. Based on the data, how much
77julia77 [94]
I think it’s c because i did the same test so good luck
4 0
2 years ago
A veterinarian randomly tested of her canine patients for Lyme disease and found that 2% of the canines tested positive for Lyme
wolverine [178]
Ah?8$:83&:9&38:&393937488888’dixneidkd
8 0
3 years ago
Read 2 more answers
Other questions:
  • Use a ratio to compare the values. Simplify the ratio. 30 in. to 2 ft
    9·1 answer
  • Anyone help!!!!<br> Please I grant brainliest.
    5·2 answers
  • An isosceles triangle has a base of 4 and a height of x+3. If the area is 10, what is the value of x?
    12·1 answer
  • 170 ÷15 = 15 x ______ = 170
    6·1 answer
  • The distribution of annual profit at a chain of stores was approximately normal with mean μ = $66,000, standard deviation σ = $2
    7·1 answer
  • Common factor for 405
    8·1 answer
  • Need help with this problem ​
    7·1 answer
  • Dakota has 4/10 kg of clay he divided the clay to make eight equal parts how many grams of clay are in each pot
    15·1 answer
  • Whats the answer for this one???? urgently need correct answers
    9·1 answer
  • Can u help me <br> Select all the irrational numbers.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!