Answer:
210° , 330°
Step-by-step explanation:
using the sides of the 30- 60- 90 triangle
with legs 1, and hypotenuse 2 , then
= 30° ← related acute angle
since -
then angle is in third / fourth quadrants , then required angles are
180° + 30° = 210° ← in third quadrant
360° - 30° = 330° ← in fourth quadrant
h(t) is the height of the diver in feet above the water
Now it asks about the time at which diver reaches the water
When diver reaches the water , the height of diver from water should be zero
So we plug h(t) =0
So
divide whole equation by -16
we can now factor the quadratic equation
So we get
(t+4)(t-3) =0
plug each factor equal to zero and solve for t
t+4 =0 and t-3 =0
So t=-4 and t=3
Now time cannot be negative , So t=3
So time = 3 seconds
It takes 3 seconds for the diver to reach the water
