We know that
tan 32°=opposite side/adjacent side
[adjacent side]=[opposite side]/tan 32°
in this problem
opposite side-----> will be the altitude of the flock of birds minus your eye level above the ground
(12000-6)-----> 11994 ft
adjacent side------->will be the horizontal distance between you and the birds
32°------> <span>an angle of elevation
</span>
[adjacent side]=[11994]/tan 32°-------> 19194.41 ft
the answer is
<span>The horizontal distance from the birds is 19194.41 ft</span>
Answer: The student is wrong. The correct algebraic expression is 9(n + 13)
The algebraic expression is represented as follows:
The sum of a number and 13 is represented as follows:
Let
n = the number
Therefore,
The sum of a number and 13 is:
n + 13
9 times the sum of a number and 13” can be translated as follows:
9(n + 13)
Therefore, the student is wrong.
Step-by-step explanation:
Answer:
sin A = 4/5
cos A = 3/5
Step-by-step explanation:
SOHCAHTOA
cot A = 1/tan A
tan A = opp/adj
cot A = 1/tan A = adj/opp
cot A = 3/4
adj = 3; opp = 4
adj^2 + opp^2 = hyp^2
3^2 + 4^2 = hyp^2
9 + 16 = hyp^2
hyp = 5
sin A = opp/hyp
sin A = 4/5
cos A = adj/hyp
cos A = 3/5
Answer:
sin A = 4/5
cos A = 3/5
There are about 15 tablespoons in a cup
Answer:
Judy is 16 years old
Step-by-step explanation:
J = Judy's age
A = Adams age
J = 2A
Six years ago (subtract 6 from the ages)
(J-6) = 5*(A-6)
Distribute
J-6 = 5A - 30
Substitute J = 2A
2A -6 = 5A -30
Subtract 2A from both sides
2A-2A -6 = 5A-2A -30
-6 = 3A -30
Add 30 to each side
-6+30 = 3A-30+30
24 = 3A
Divide by 3
24/3 = 3A/3
8 = A
Adam is 8 years old now
We need to find Judy's age
J = 2A
J = 2*8
J = 16
Judy is 16 years old