Answer:
so yo answer is 16
Step-by-step explanation:
2^9/2^5
512/32
16
Answer:
100°= angle b(VERTICAL OPPOSITE ANGLE)
100°+x°=180°[co interior angle]
x=180°-100°
x=80°
First simplify the square root of 1/25
-√1/25
Rewrite using the quote by rule for radicals.
-√1/√25
Any root of 1 is 1
-1/√25
Simplify the denominator. (find the square root of 25)
-1/5
The result can be shown in both exact and decimal forms.
Exact form: -1/5
Decimal form: -0.2
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
Answer:
Step-by-step explanation:
This is a 30°-60°-90° triangle, so the sides are in the ratio 1:√3:2
The side opposite the 90° angle is 16, so the side opposite the 30° angle is 8, and the side opposite the 60° angle is 8√3.
x = 8√3
y = 8