Answer:
a) 36°
b) 37°
Step-by-step explanation:
Angle of elevation formula: [tex]tan(\theta)=\dfrac{y}{x}[/tex]
where [tex]\theta[/tex] is the angle of elevation, y is the vertical distance (rise) and x is the horizontal distance.
a) Given:
- [tex]x=14[/tex]
- [tex]y=10[/tex]
[tex]\implies tan(\theta)=\dfrac{10}{14}[/tex]
[tex]\implies \theta=tan^{-1}\left(\dfrac{10}{14} \right)[/tex]
[tex]\implies \theta=36 \textdegree \ \ \textsf{(neareast whole degree)}[/tex]
b) Given:
- [tex]x=17[/tex]
- [tex]y=13[/tex]
[tex]\implies tan(\theta)=\dfrac{13}{17}[/tex]
[tex]\implies \theta=tan^{-1}\left(\dfrac{13}{17} \right)[/tex]
[tex]\implies \theta=37 \textdegree \ \ \textsf{(neareast whole degree)}[/tex]
