Answer:
[tex]3,960\ ft[/tex]
Step-by-step explanation:
we know that
Applying trigonometric identity
[tex]sin(30^o)=\frac{y}{1.5}[/tex] ---> by SOH (opposite side divided by the hypotenuse)
where
y is the elevation
solve for y
[tex]y=(1/2)1.5=0.75\ miles[/tex]
Convert miles to feet
Remember that
[tex]5,280\ ft = 1\ mile[/tex]
so
[tex]0.75\ miles=0.75(5,280)=3,960\ ft[/tex]
Answer:
3960ft
Step-by-step explanation:
The elevation gained after traveling 1.5 miles will be 3960ft.
Step-by-step explanation:
Angle of elevation = 30°
Distance travelled= 1.5 miles
1 mile = 5280 ft.
1.5 miles = 5280 x 1.5
= 7920 ft.
The height from the ground can be calculated by,
sin 30° = height / 7920
1/2 = height / 7920
Height = 7920/2
= 3960 ft.
The elevation gained after traveling 1.5 miles will be 3960ft.
