Answer:
D) 154 feet
Step-by-step explanation:
The angle is less than 45°, so you know the distance will be more than 89 feet. There is only one choice in that range.
_____
The mnemonic SOH CAH TOA reminds you ...
... Tan = Opposite/Adjacent
so ...
... tan(30°) = (89 ft)/(distance to boat)
Then ...
... distance to boat = (89 ft)/tan(30°) ≈ 154 ft
Answer:
A: 
Step-by-step explanation:
Acceleration is second derivative of position, velocity is first derivative. Therefore, the velocity is the integral of acceleration.

Integrate:

V(0)=-5:

Therefore, v(t):

Step-by-step explanation:


This one is a little tricky because of the conversion but .51 cm converts to roughly .2 inches (actually its .200787 but we will round to .2 for ease of math). 4 in/.2in = 20
Therefore the tree is 20 years old.
Footnote 1cm is equal to .3937 inches so it would be .51cm * .3937in = .200787in