Iron Man leaves his house and flies due East 90 miles and then 230 miles in the direction of S 68.17 degrees W. How far is Iron Man from his house (round to the nearest mile)?

574

Step-by-step explanation:

I drew a picture of this situation

I am going to assume you know SOH CAH TOA (if you don't just ask)

We have the adjacent side and need to solve for the opposite so I will be using TOA

tan(68.17)=x/230

230tan68.17=x

x=574

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.