Alex read 4 pages in a book in 6 minutes. How long would you expect him to take to read 6 pages at this rate?
1 answer:
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Answer:
Adam: 52.26°
Step-by-step explanation:
Use Cosine Rule, , to find the angle of both players.
✔️Angle of Carlos:
Let the angle be C,
a = 50 ft
b = 40 ft
c = 24 ft
Plug in the values into the equation
C = 28.24° (nearest hundredth)
✔️Angle of Adam:
Let the angle be C,
a = 30 ft
b = 22 ft
c = 24 ft
Plug in the values into the equation
C = 52.26° (nearest hundredth)
Answer:
a. and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is
Thus, we can write
Approximate value (rounded to nearest tenth):
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve: