The distance of the ship from the lighthouse can be determined using
trigonometric ratios.
- The ship's horizontal distance from the lighthouse is approximately <u>1,303.03 feet</u>.
Reasons:
The given parameters are;
The height of the beacon-light above the ground = 114 feet
The angle of elevation to the beacon measured by the boat crew = 5°
Required:
The horizontal distance of the ship from the lighthouse
Solution:
The beacon-light that is seen by the boat crew, the height of the beacon light, and the horizontal distance of the ship from the lighthouse form a right triangle.
Therefore, we have;
Which gives;
Therefore;
The ship's horizontal distance from the lighthouse = <u>1,303.03 feet</u>.
Learn more about angle of elevation here:
brainly.com/question/15821537
Answer:
x=47 feet
Step-by-step explanation:
Since angle VTY is congruent to angle VTK, segment TY bisects angle VTK. Since Y is on segment VK, between V and K, we can use the Angle Bisector Theorem, which states that:
Now, X=VY+YK
Substituting the values, we get
X=
X=
Answer:
l = A / w
Step-by-step explanation:
Given:
A = lw
Where,
A = area
l = length
w = width
write a formula for the length
A = lw
Divide both sides by w
A / w = lw / w
A / w = l
It can also be written as
l = A / w
That is, length = Area / width
However, no baking sheet is shown
The formula to find the length of the baking sheet = Area / width
Answer:
406
Step-by-step explanation:
3,245 divide by 8 equals 405.625 so rounding up it equals 406
Answer:
1) 4
2) 45
3) 104
Step-by-step explanation:
1)
let x be your number.
((6x+8)/4)-5 = 3
add 5
(6x+8)/4=8
multiply by 4 to get rid of the denominator
6x+8=32
subtract 8
6x=24
divide by 6
x=4
2) Same type. (this time I won't explain every step)
let x be your number
((x/9)-8+6)*7 =21
(x/9)-8+6=3
(x/9)-2=3
x/9 = 5
x=45
3) Same type... Again
let x be your number
(((x-4+11)*2)/6)-8 = 29
((x-4+11)*2)/6=37
(x-4+11)*2 = 222
x+7=111
x= 104
