Answer: 2748.5 feet
Step-by-step explanation:
Given that the
Height h = 120 feet.
angle of depression = 2.5 degrees
The angle of depression is equal to the angle of elevation.
The base of the observation deck will be achieved by using trigonometry ratio.
Tan Ø = opposite/ adjacent
Opposite = height = 120 feet
Adjacent = base = ?
Substitutes the given parameters into the trigonometry ratio.
Tan 2.5 = 120 / adjacent
Adjacent = 120 / tan 2.5
Adjacent = 2748.452
Therefore, the base of the observation deck is 2748.5 feet
Answer: why?
Step-by-step explanation:
2x + 3y = 3 y = 8 – 3x
we have 2 equations
first equations: <span>2x + 3y = 3 y
</span>the second equation: 3y = 8 – 3x => <span>8-3x=3y
</span><span>------------------------------------------------------------
2x+3y=3y</span>2x=3y-3y
2x=0
x=0
8-3x=3y
8-0=3y
8=3y
y=8/3
S={x=0 ; y=8/3 }
Number = 42
50% of 42
= 50/100 × 42
= 21
Increased number = 42 + 21 = 63
The answer is <span>10 units
</span>
The diameter of the cylinder (d) is the twice of its radius (r): d = 2r
The volume (V) of the cylinder with radius r and height h is:
V = π r² h
We have:
d = 2r
r = ?
h = 7
π = 3.14
V = 175π
175π = π * r² * 7
175 = r² * 7
r² = 175/7
r² = 25
r = √25
r = 5
d = 2r
d = 2 * 5
d = 10
