Answer:
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Step-by-step explanation:
<u>Given</u>:
The height of an object project upward is given by the polynomial

where t represents the time, in seconds.
We need to determine the height after t = 2.5 seconds.
<u>Height of an object:</u>
The height of an object after 2.5 seconds can be determined by substituting t=2.5 in the polynomial, we get;

Simplifying, we get;



Thus, the height of an object is 140 feet.
Answer:
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Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>