Amelia used 6 liters of gasoline to drive 48 kilometers.
2 answers:
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Answer:
Base = 24 ft; height = 47 ft
Step-by-step explanation:
The formula for the area of a triangle is
A = ½bh
Let x = the base. Then
2x - 1 = the height
We reject the negative value, so x = 24 ft
Base = x = 24 ft
Height = 2x - 1 = 2(24)-1 = 48 - 1 = 47 ft
Check:
564 = ½ × 24 × 47
564 = 564
OK
Answer:
1)7.288 feet
2)11.6 feet
3)safe
4) 3.7 feet
5) ∅
6)∅1
∅2
Step-by-step explanation:
1) The door barn is rectangular in shape. The length is 9 feet and The angle between diagonal and side is 39 degrees.
Applying trigonometry,
tan(39) = = 0.809
Thus, s=
2) Applying pythagoras theorm,
Diagonal length (d) = 11.58 feet. Nearest tenth place = 11.6 feet
3) The length of ladder is 14 foot and height from ground is 13.5 feet.
Applying trigonometry,
sin(∅) = = 0.964
∅ = angle of elevation = = 74.57 ≈ 75 degrees.
Thus tractor can climb safely.
4)Applying, pythgoras theorm,
x =
Thus, ladder should be placed at distance 3.7 feet
5)Let angle of elevation be ∅.
tan(∅) =
∅
6)After moving 5 feet closer to barn, Let angle of elevation for light near barn be ∅1 and for farther one be ∅2.
Thus,
tan(∅1) =
∅1
tan(∅2) =
∅2