Answer:
C. 3.5 mi
Step-by-step explanation:
Reference angle = angle of elevation
Angle of elevation = angle of depression = 6° (alternate angle theorem)
Hypotenuse = x
Opposite = 1905 ft
Apply trigonometric function SOH:
Sin 6° = Opp/Hyp
Sin 6° = 1905/x
x * Sin 6° = 1905
x = 1905/Sin 6°
x = 18,224.7 ft
Convert form feet to miles
1 mi = 5,280 ft
Therefore,
18,224.7 = 18,224.7/5,280
= 3.45164773 mi
≈ 3.5 mi (nearest mile)
Answer:
2394 cubic centimeters
Step-by-step explanation:
If all of the dimensions of the shipping box are 1.3 times that of the gift, then the volume of the box is 1.3^3=2.197 times that of the gift. Dividing this by the volume of the box, you get a volume of 2000 cubic centimeters for the volume of the gift. Subtracting this from the volume of the box, you get 2394 cubic centimeters of unused space. Hope this helps!
Hi there!
To solve, we can use right triangle trig.
We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:
tan (A) = O / A
tan (33) = 25 / x
Solve:
x · tan(33) = 25
x = 38.49 ≈ 38.5
Answer:
72.5
Step-by-step explanation:
B....................................................
