QUESTION B/10 Hasan isvisitingNew YorkCity for a convention .From the bus terminal , he walks 0.5 miles westalong 42nd Street . He then turns and walks 0,3 milessouth along 11th Avenueto arrive at the convention center. Whatwould bethe distance, in miles, directly from the bus terminal to the convention center? Enteranumber only (nounits). Ifyour answer isnoto whole number then round to the nearest hundredth. 1 point Enteranswer here...

## Step 1<br />This problem involves the application of the Pythagorean theorem, which is a fundamental relation in Euclidean geometry among the three sides of a right triangle. The theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.<br /><br />## Step 2<br />In this scenario, Hasan's journey forms a right-angled triangle. The two legs of the triangle are the distances he walks west and south, which are 0.5 miles and 0.3 miles respectively. The hypotenuse of the triangle is the direct distance from the bus terminal to the convention center, which we are trying to find.<br /><br />## Step 3<br />We can use the Pythagorean theorem to solve for the hypotenuse. The formula is:<br />### \(a^2 + b^2 = c^2\)<br />where \(a\) and \(b\) are the lengths of the two legs of the triangle, and \(c\) is the length of the hypotenuse.<br /><br />## Step 4<br />Substitute the given values into the formula:<br />### \(c = \sqrt{(0.5)^2 + (0.3)^2}\)<br /><br />## Step 5<br />Calculate the square of 0.5 and 0.3, add them together, and then take the square root of the result.<br /><br />## Step 6<br />Round the result to the nearest hundredth as instructed.