Y = height
x = distance from tower
tan(19.9) = y/x
tan(21.8) = y/(x-50) ( x is 50 feet closer so subtract 50 from x)
find the tan of the angles:
tan19.9 = 0.362
tan21.8 = 0.400
replace those values in the equations:
0.362 = y /x
0.400 = y / (x-50)
rewrite to solve for height:
0.362x = y
0.400(x-50) = y distribute the 0.400 and rewrite as 0.400x-20 =y
now solve:
0.362x = 0.400x-20
add 20 to each side:
0.362x +20 = 0.400x
subtract 0.362x from each side:
20 = 0.038x
divide both sides by 0.038
x = 20 / 0.038 = 526.3 feet
now that x is known replace x in the original equation and solve for y:
tan19.9 = y /x
0.362 = y / 526.3
y = 0.362 x 526.3
y = 190.5
the height of the tower is 190.5 feet
Step-by-step explanation:
By Linear Pair Theorem,
110⁰ + 5x⁰ = 180⁰
5x⁰ = 70⁰ ------- (1)
x⁰ = 14⁰
We know that adding the angles of the triangle lying on the same side, equals the opposite exterior angle, i.e.,
5x⁰ + 40⁰ = 2y⁰
From 1,
70⁰ + 40⁰ = 2y⁰
110⁰ = 2y⁰
y⁰ = 55⁰
<em>Hope it helps :)</em>
Answer:
We need to see the system of equations.
Step-by-step explanation:
Show us the system of equations.
<u>Answer</u>:
Option 5: -4 ≤ 7x - 7 ≤ 4
<u>Step-by-step explanation:</u>
It is required to find which expression is equivalent to |7x-7| ≤ 4
So, at the beginning we should review the rules of absolute value inequalities.
1) If |x| ≤ a ⇒ -a ≤ x ≤ a
2) If |x| < a ⇒ -a < x < a
3) If |x| ≥ a ⇒ x ≤ -a or x ≥ a
4) If |x| > a ⇒ x < -a or x > a
Applying the first rule to the given absolute value inequality:
|7x-7| ≤ 4 ⇒ -4 ≤ 7x-7 ≤ 4
So, the answer is option 5
Answer:
y= -1/3x+3
Step-by-step explanation:
Old homework answers.
