The two angles given are vertical angles which mean they are the same.
x +40 = 60
Subtract 40 from both sides:
x = 20
Answer:
Radius of the circle is <em>15 inches.</em>
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Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:
where 
is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:
We know that 
Converting to radians:
radians
Putting the values of and to find the value of
Hence, Radius of the circle is <em>15 inches.</em>
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
I believe the answer is true
Answer:
Vertical bar graph.
Step-by-step explanation:
A circle graph demonstrates data in the form of percentages that form a circle.
A horizontal and vertical bar graph demonstrate data in the same way, just in different directions.
