Math Help - Word trigonoetry problem?

1. Word trigonoetry problem?

#1. A surveyor places pins at three corners of a property. The distance along one of the property is 80 feet, and the distance along the other side is 150 feet. Explain what measurement the surveyor can use to determine whether the two sides of the property are perpendicular.
What should the measurement be?

Could you use 80^2+ 150^2= c^2

6400+22,500= 28,900 and the square root of 28,900 is 170
So if the above information is correct, how do I use it to answer the question?

#2. To signal the beginning of yacht race, a flare is shot into the air. The height h (in feet) of the flare after t seconds is given by h = 112t - 16t^2 .
Determine the height of the flare after (a) 3.5 seconds and (b) 6 seconds.

Is the answer for (a) 112(3.5) - 16(3.5)^ =196 feet?

and for (b) 112(6)-16(6)^2 = 96 feet?

2. Hello, Ash!

1. A surveyor places pins at three corners of a property.
The distance along one of the property is 80 feet, and the distance along the other side is 150 feet.
Explain what measurement the surveyor can use to determine whether the two sides of the property are perpendicular.
What should the measurement be?

Could you use $80^2+ 150^2\:=\: c^2$ . Yes!
$6400 + 22,500\:= \:28,900$ and $\sqrt{28,900} = 170$
So if the above information is correct, how do I use it to answer the question?
Measure the distance from pin A to pin C and see if it is exactly 170 feet.

2. To signal the beginning of yacht race, a flare is shot into the air.
The height $h$ (in feet) of the flare after $t$ seconds is given by: $h \:= \:112t - 16t^2$

Determine the height of the flare after (a) 3.5 seconds and (b) 6 seconds.

Is the answer for (a) $112(3.5) - 16(3.5)^2 \:=\:196$ feet? . Right!

and for (b) $112(6)-16(6)^2 \,= \,96$ feet? . Correct!

3. Do you know a quick way to find the square root of a large number.

4. Originally Posted by Ash
Do you know a quick way to find the square root of a large number.
Calculator.