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miss Akunina [59]
3 years ago
9

Find the angle of elevation of 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. Round to the nearest degree. o 54 degrees. o 36 degrees. o 46 degrees. o 44 degrees

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0

Answer:

The angle of elevation of the sun from the ground to the top of a tree is 36^{\circ}.

Step-by-step explanation:

As given

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 trignometric identity .

tan\theta =\frac{Perpendicular}{Base}

As figure is  given below .

AB =  Perpendicular = 10 yards

BC =  Base = 14 yards

Putting all the values in the trignometric identity .

tan\theta =\frac{AB}{BC}

tan\theta =\frac{10}{14}

\theta =tan^{-1}(\frac{10}{14})

\theta =36^{\circ}

Therefore the angle of elevation of the sun from the ground to the top of a tree is 36^{\circ}.

maria [59]3 years ago
3 0
Here is the solution of the given  problem above.
Given: Height of tree = 10 yards
Shadow of the tree = 14 yards
? = Angle of elevation of the sun from the ground to the top of the tree
In this problem, we are going to use the <span>inverse tangent trigonometric identity.
The correct answer would be 35.5 degrees. Round this off to the nearest degree and we get 36. Therefore, the correct answer would be 36 degrees.</span>
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