Answer:
The value of angle of elevation is 44.4° .
Step-by-step explanation:
Given as :
The measure of the rope of hot air balloon = 100 m
The height of balloon above the ground = 70 m
Let The angle of elevation = Ф
Now, According to question
Sin angle = [tex]\dfrac{\textrm Perpendicular}{\textrm Hypotenuse}[/tex]
Or, SinФ = [tex]\dfrac{\textrm Height of baoolon above ground}{\textrm measure of rope}[/tex]
Or, SinФ = [tex]\frac{70}{100}[/tex]
Or, SinФ = [tex]\frac{7}{10}[/tex]
∴ Ф = [tex]Sin^{-1}[/tex]([tex]\frac{7}{10}[/tex])
I.e Ф = 44.4°
Hence The value of angle of elevation is 44.4° . Answer
Draw the situation.
Apply sinθ [tex]= \frac{opposite}{hypotenuse}[/tex]
sinθ [tex]=\frac{70}{100}[/tex]
θ = [tex]sin^{-1}[/tex][tex](\frac{70}{100} )[/tex]
θ = 44.4°
