Segment drawn on scale having end points O (0,0) and A is a line segment.
O A=
O A =
=
=
Now , the same segment actual structure having end points O'(0,0) and B (30,36) is also a line segment.
O'B=
=
=
= 2√549
[Cancelling √549 from numerator and denominator]
So, Actual length = 40 × Length on scale
The angle of elevation of the sun from the ground to the top of a tree is 36°.
We are given that:
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trigonometric identity .
tan θ = P / B
As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trigonometric identity .
tan θ = 10 / 14
θ = 36°
Therefore, the angle of elevation of the sun from the ground to the top of a tree is 36°.
Learn more about angle of elevation here:
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Answer:
Step-by-step explanation:
Given
Required
Determine the measure of each angle
The angles in a triangle sum up t 180. i.e.
Since , then
can then be rewritten as:
Substitute values for B and C
Open Bracket
Collect Like Terms
Divide both sides by 23
To get the measure of each angle, substitute 11 for x in the expressions of B, C and D
