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:
Midpoint of a segment with the given endpoints
and
is defined by,

In this question endpoints of the segment are,
and 
Coordinates of the midpoint will be,

= 
Therefore, coordinates of the midpoint are
.
Answer:
56°
Step-by-step explanation:
2x+3x+5=90
5x=90-5
5x=85
x=85÷5
x=17
m<2=3x+5=3(17)+5=51+5=56
13. 440
14. 15
15. grade 6...not 100% sure on this...might be both grades
Answer:
x = 17
Step-by-step explanation:
Assuming you are solving for x...
34/14 = x/7
The goal is to get x on one side of the equation with nothing else.
The multiplication property of equality states that the equation remains the same if we multiply both sides by the same amount so:
(34/14) * 7 =( x/7) * 7
This simplifies to:
34/2 = x
Which can be simplified even further to:
17 = x