Respuesta :
Answer: The angle of elevation is 24.4° .
Step-by-step explanation:
Since we have given that
Distance between below the ground digging his way toward Pismo Beach = AC= 33 meters
Length of diagonally until he was above ground = BC = 80 meters
We need to find the angle of elevation of Bug's Bunny's climb .
In Δ ABC,
we will use " Trigonometric Ratio :SOH" :
[tex]\sin \theta=\frac{AC}{BC}=\frac{Perpendicular}{Hypotenuse}\\\\\sin \theta=\frac{33}{80}\\\\\sin \theta=0.4125\\\\\theta=\sin^{-1}(0.4125)\\\\\theta=24.36\textdegree\\\\\theta=24.4\textdegree[/tex]
Hence, the angle of elevation is 24.4° .
The angle of elevation, in degrees, of Bugs Bunny's climb is 24.4°.
The situation forms a right angle triangle.
Right angle triangle.
Right angle triangle are triangle that has one of its angle as 90 degrees.
The bugs Bunny was 33 meters below the ground. This is the opposite side of the triangle formed.
The bug dug diagonally for 80 meters . This is the hypotenuse of the triangle. Therefore, the angle of elevation, in degrees, of Bugs Bunny's climb is as follows:
sin ∅ = opposite / hypotenuse
sin ∅ = 33 / 80
∅ = sin⁻¹ 0.4125
∅ = 24.36197794°
∅ = 24.4°
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