Trigonometry

Trigonometry

Answer each of the following questions. You must provide
detailed work illustrating how you arrived at your solution. Submit
your answers to the drop box. Your work may be attached as a Word
Document or a PDF File. 1) A security car with its spotlight on is
parked 40 meters from a warehouse. Consider θ and x as shown in the
figure. Write θ as a function of x.2) A weight is oscillating on the end of a spring (see figure).
The position of the weight relative to the point of equilibrium is
given by where y is the displacement(in meters) and t is the time
(in seconds). Find the time when the weight is at the point of
equilibrium (y = 0) for 0 ≤ t ≤ 1.3) The horizontal distance d (in feet) traveled by a projectile
with an initial speed of v feet per second is modeled by:where θ is the angle at which the projectile is launched. Find
the horizontal distance traveled by a golf ball that is hit with an
initial speed of 100 feet per second when the ball is hit at an
angle of θ = 40°. Round to the nearest foot.

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