A botanist is studying the development of a bamboo plant. She started keeping a log of its growth 25 weeks ago. Since then, the plant has grown an average of 3/5 inch each week. Every 5 weeks she trims 2 1/2 inches off the top of the bamboo plant. Its current height is 5 3/4 feet. Complete questions 14 below.

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

quit

step-by-step explanation:

ask the math teacher she or he would know lol.

step-by-step explanation:

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step-by-step explanation: