Answer:
a=61.39°
Step-by-step explanation:
The tangent of angle a is equal to divide the opposite side to angle a (FE) by the adjacent side to angle a (FD)
tan(a)=FE/FD
tan(a)=55/30
a=arctan(55/30)
a=61.39°
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Answer:
61.39 is the correct answer.
Step-by-step explanation:
We are given a right angled triangle \triangleDEF with the following dimensions:
FD = 30 units
FE = 55 units
\angle D = a^\circ\\\angle E = b^\circ
We have to find the value, a = ?
Please refer the attached image for the given triangle.
We can use trigonometric identities to find the value of a.
First of all, if we look at angle a, we can see that, we are given with the perpendicular (side FE) and base (side DF).
It means we can choose tangent among sine, cosine and tangent because perpendicular and base are used the identity. It is given as follows:
tan\theta =\dfrac{Perpendicular}{Base}
tana =\dfrac{FE}{DF}\\tana =\dfrac{55}{30}\\tana =1.83\\a = tan^{-1} (1.83)\\a = 61.39^\circ
So, a=61.39^\circ is the correct answer.
