The height of the chimney above the floor of the observation deck is 52.4 ft
Two right angle triangle will be formed.
<h3>Right angle triangle:</h3>
Right angle triangle are triangle that has one of its angle as 90 degrees.
Therefore, using trigonometric ratio,
adjacent side = distance of observer from the bottom edge of the Delaware River drawbridge observation deck
Therefore,
tan 40 = opposite / adjacent
Where
x = height of the observer to the top of the observation deck
tan 40 = x / 200
x = 200 tan 40
x = 167.819926235
x = 167.82 ft
tan 30 = opposite / adjacent
y = height of the observer to the bottom of the observation deck
tan 30 = y / 200
y = 200 tan 30
y = 115.470053838
y = 115.47 ft
The height of the chimney above the floor of the observation deck = height of the observer to the top of the observation deck - height of the observer to the bottom of the observation deck
The height of the chimney above the floor of the observation deck = 167.82 - 115.47 = 52.35 ft
learn more on trigonometric ratio here: brainly.com/question/23854119
Answer:
The midpoint is (4,3)
Step-by-step explanation:
I attached the midpoint formula.
<u>( -1 + 9 )</u> <u>( 4 + 2 )</u>
2 2
8 / 2 = 4 6 / 2 = 3
(4,3)
I believe it would be 8 sense the other half is 4
There are two terms which is (w,x)
Answer:
m<A is 60 degrees
m<B is 30 degrees
Step-by-step explanation:
As the problem says, the sum of m<A and m<B=90 degrees (m<A+m<B=90). The given measures are (5x+10) for <A and 3x for <B
we can substitute (5x+10) and 3x as <A and <B into the equation
so:
5x+10+3x=90
Combine like terms
8x+10=90
subtract 10 from both sides
8x=80
divide by 8
x=10
Now substitute as x
m<A: (5*10+10)=50+10=60 degrees
m<B: (3*10)=30 degrees
Hope this helps!
