To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown angle of depression. If the beam of light shines on the sea surface at a point that is 865 feet away from the base of the lighthouse, what is the angle of depression?
Answers
Answer:
Step-by-step explanation:
Given that:
Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.
The angle of depression is unknown.
Distance of the point at sea surface from the base of lighthouse is 865 ft.
This situation can be modeled or can be represented as the figure attached in the answer area.
The situation can be represented by a right angled in which we are given the base and the height of the triangle.
And we have to find the value of (Because they are the internal vertically opposite angles).
Using tangent ratio:
Therefore, the angle of depression is:
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Answers
I don't know hot to explain it :D
If you need more help message me so you don't use your points!
f(x) = (x + 3)2 − 6
f(x) = (x + 6)2 + 3
f(x) = (x + 6)2 − 6
Answers
move the 3 aside and work in parenthasees
f(x)=(x^2+6x)+3
take 1/2 of 6 and square it (6/2=3, 3^2=9)
add 9 and -9 inside
f(x)=(x^2+6x+9-9)+3
factor perfect square
f(x)=((x+3)^2-9)+3
get rid of parenthases
f(x)=(x+3)^2-9+3
f(x)=(x+3)^2-6
2nd choice
Answer:
f(x) = (x+3)2+3
Step-by-step explanation:
Answers
Answer:
12a³+2a²+23a+18
Step-by-step explanation:
(3a+2)(4a²-2a+9)=
12a³-6a²+27a+8a²-4a+18=
12a³+2a²+23a+18
If you need more explanation, reply to this answer.
Answers
Answer:
Step-by-step explanation:
The points are
The fourth vertex will can be found by the points and
.
The angles between the sides of a rectangle are .
The coordinate will be the same as
and the
coordinate will be the same as
. The fourth verex is
.
So, the fourth vertex of the rectangular piece will be .
Answers
‘B’ can do the same job = 1/30 Job/minutes
Both ‘A’ & ‘B’ can do the Job = 1/15+1/30
=(2+1)/30
=3/30=1/10 job/minutes
Both A & B can do the Job in 10 minute
1/15 and 1/30
The amount of work that they can do together is:
t/15+t/30
And we want to solve for when they can complete the job together:
t/15+t/30=1 making a common denominator
(t/15)(2/2)+t/30=1
(2t+t)/30=1 multiply both sides by 30
2t+t=30 combine like terms on left side
3t=30 divide both sides by 3
t=10
So it will take them 10 minutes to complete the job when working together.
Answers
Answer:
x² + y² = 85
Step-by-step explanation:
Using the expansion
(x - y)² = x² + y² - 2xy , then
x² + y² - 2xy = (x - y)² ( add 2xy to both sides )
x² + y² = (x - y)² + 2xy ← substitute given values
= 9² + 2(2)
= 81 + 4
= 85