The angle of elevation from the base to the top of the mountain is 30°
Step-by-step explanation:
The vertical height of the mountain h=700 feet
The distance of the top of the mountain from the base=1400 feet
The system is a right a triangle and we have to determine the angle of elevation from the base to the top of the mountain.
The hypotenuse of the triangle=1400 feet
Let α be the angle between the base of the mountain and the line joining the base to the top of the mountain
[tex]sin\alpha =opposite side/hypotenuse\\=height h/hypotenuse\\=700/1400\\=0.5\\\\\alpha =sin^-1 (0.5)=30 \°[/tex]
The angle of elevation is 30°
