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tatyana61 [14]
3 years ago
6

Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far. if f= the number of feet remaining, which gr

aph best shows this situation?

Mathematics
2 answers:
Alex17521 [72]3 years ago
5 0
Right answer is B. If we have f equal the amount of her remaining way so f it will be the difference between the way she has gone and her finish line. So we have 70 in the approximate middle of her way and F is between 70 feet and 105 feet, so 105=70+F
Ratling [72]3 years ago
5 0

Answer:

Option B is the right answer.

Step-by-step explanation:

Given is - Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far.  

This means Alexandra has covered 70 feet and final point is 105 feet.

f is the remaining distance;  

So,105=f+70

So, option B is the right answer.

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Can someone please explain to me how to get this answer?
SIZIF [17.4K]
Answers:
A = 120
b = 45.0
c = 33.2

Side Note: only one triangle is possible
See attached for a visual. I used GeoGebra to draw the triangle.

-------------------------------------------------------------
-------------------------------------------------------------

Explanation:

We are given the following information
B = 35
C = 25
a = 68

We need to find the following
A, b, c

where the lower case letters represent the side lengths; the upper case letters are the angles. The angles are opposite their corresponding sides. For instance, side lowercase b is opposite angle uppercase B. The other letters are positioned the same way.

-----------------------

First use the idea that for any triangle, the three angles (A,B,C) must add to 180 degrees
A+B+C = 180
Replace B and C with 35 and 25. Solve for angle A
A+35+25 = 180
A+60 = 180
A+60-60 = 180-60
A = 120

Now that we know the three angles A = 120, B = 35, C = 25, we can find the missing sides 'b' and 'c'

-----------------------

We will use the law of sines to find side b
sin(A)/a = sin(B)/b
sin(120)/68 = sin(35)/b
b*sin(120) = 68*sin(35) <<--- cross multiply
b = 68*sin(35)/sin(120)
b = 45.037013350222 <<--- use a calculator; this value is approximate
b = 45.0 <<--- round to the nearest tenth

-----------------------

Do the same for side c
sin(A)/a = sin(C)/c
sin(120)/68 = sin(25)/c
c*sin(120) = 68*sin(25) <<--- cross multiply
c = 68*sin(25)/sin(120)
c = 33.1838323365404 <<--- use a calculator; this value is approximate
c = 33.2 <<--- round to the nearest tenth

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