What is the angle of elevation of the sun when a pole 32.0 ft tall casts a shadow 45.0 ft long
1 answer:
As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.
We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?
SOH
CAH
TOA
In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.
adjacent, a = 45.0
opposite, o = 32.0
So, to find the angle of elevation, refer to the second picture above.
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The difference in slopes of is = 3
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while slope of
is negative.
Difference of y-intercepts of is = -7
We can say the y-intercept of is positive and 7 units above
while y-intercept of
is negative.
Step-by-step explanation:
Given equation:
We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:
where represents slope and
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.
Slope = 2 and y-intercept =-2
Slope = -1 and y-intercept =5
The difference in slopes of is =
We can say slope of is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of is =
We can say the y-intercept of is positive and 7 units above
while y-intercept of
is negative.