Tammy is mountain climbing with Nicole and just climbed an 8 meter rock face Nicole is standing 8 meters away from the bottom cliff looking up at Tammy . How far away are Tammy and Nicole

  8√2 ≈ 11.31 meters

Step-by-step explanation:

The straight-line distance is the hypotenuse of an isosceles right triangle with legs 8 meters. So, the distance is 8√2 meters, about 11.31 meters.

Of course, you know that a right triangle with legs 1 and 1 has a hypotenuse of  ...

  √(1² +1²) = √2 . . . . . given by the Pythagorean theorem

Scaling this by a factor of 8 meters gives you legs of 8 meters and a hypotenuse of 8√2 meters.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet