Answer :
Let the angle of elevation be θ.
We have a right angled triangle with an opposite of 300.5 ft. (306 - 5.5) and an adjacent of 400 ft. Recalling SOH CAH TOA, tanθ = O/A.
tan(θ) = 300.5/400.
θ = tan^-1(300.5/400).
θ = 36.9°.
We have a right angled triangle with an opposite of 300.5 ft. (306 - 5.5) and an adjacent of 400 ft. Recalling SOH CAH TOA, tanθ = O/A.
tan(θ) = 300.5/400.
θ = tan^-1(300.5/400).
θ = 36.9°.
Answer: Angle of depression = 33.7°
Step-by-step explanation:
Since we have given that
Length of base of the right angle triangle = 450 feet
Length of Frank = 5.5 feet
Length of Statue of Liberty = 306 feet
So, Length of perpendicular = 306-5.5=300.5 feet
So, in triangle , we will apply tangent of triangle:
[tex]\tan \theta=\frac{Perpendicular}{Base}\\\\\tan \theta=\frac{300.5}{450}\\\\\tan \theta=0.6677\\\\\theta=\tan^{-1}(0.6677)\\\\\theta=33.7^\circ[/tex]
Hence, Angle of elevation = 33.7° = Angle of depression (By alternate interior angle).