
<em>In decimal form, a = 114.5; b = 25.5</em>
We will write this as a system of equations, where
and
are the two angles.

We will use substitution to solve this system. We know what
equals, so we plug that into the second equation.

Combine the like terms.

Add
on both sides.

Divide both sides by
.

Now just subtract that from
.

Answe is B: 50
It needs to equal 180 so
100+30=130
180-130=50
The question involves the concept & equations associated with projectile motion.
Given:
y₁ = 1130 ft
v₁ = +46 ft/s (note positive sign indicates upwards direction)
t = 6.0 s
g = acceleration due to gravity (assumed constant for simplicity) = -32.2 ft/s²
Of the possible equations of motion, the one we'll find useful is:
y₂ = y₁ + v₁t + 1/2gt²
We can just plug and chug to define the equation of motion:
<u><em>y = (1130 ft) + (46 ft/s)t + 1/2(-32.2 ft/s²)t²</em></u>
<em>(note: if you were to calculate y using t = 6.0 s, you'd find that y = 826.4 ft, instead of 830 ft exactly because of some rounding of g and/or the initial velocity)</em>