Answer:
height = 23 ft , Width=43ft
Step-by-step explanation:
Step one:
Given data
Given data
Diagonal = 66ft
Aspect ratio= 19:10
From the formulas below, we can find the dimensions of the theater screen
height = diagonal / √ (AR²+1)
where AR is the aspect ratio
Step two:
height = 66 / √ ((19/10)² + 1) =
height = 66 / 2.9
height = 23 ft
Step three:
Also,
width = AR * height
width = (19/10) * 22.75
width =1.9* 22.75
Width=43ft
None they're parallel because they have te same slope. Work; get y by itself or graph! hope it helped ;)
Answer:
Step-by-step explanation:
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