In ΔNOP, the measure of ∠P=90°, the measure of ∠O=37°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.

119.6

Step-by-step explanation:

Remark

Draw a rough sketch of what is given.

You will find the NP is the side opposite of the triangle.

P is the right angle

OP is the hypotenuse.

Given

NP = 72

<O = 37

Equation

Sin(O) = NP/OP

Sin(72) = .6018

0.6018 = 72/OP                     Multiply both sides by OP

0.6018*OP = 72                     Divide both sides by 0.6018

OP = 72/0.6018

OP = 119.6

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

lol we need to see what the question is asking about

step-by-step explanation: