Question

Submit Test This Question: 2 pts 11 of 16 (11 complete) This Test: 39 pts possible Explain how you would find the distance XY across the lake shown below, and then find XY. 50 m Y 100 m 200 m Which of the following explains how to find the distance XY? O A. Draw a perpendicular segment from Y to the segment representing 200 m. Then draw the segment XY. A right triangle is formed with side lengths 100 m and 150 m. Use the Pythagorean theorem to find XY. OB. Add the lengths of all the sides given and divide by 4. OC. Find the length of the hypotenuse with side lengths 50 m and 100 m by using the Pythagorean theorem. Then subtract the length 200 m. This is the length of side XY. D. Find the length of the hypotenuse with side lengths 100 m and 200 m by using the Pythagorean theorem. This is the length of side XY. The length of XY is m. (Round to the nearest tenth as needed.) Click to select your answer(s). Stv • Air DII DD

Answer 1

Option A is the right way to find XY.

50 m Y 100 m 100 m 50 m Y" 150 m X

Draw perpandicular from Y to 200 m segment. Named Y'. Now Y' has the same length of Y. i,e. 50 m ,thus Y'X will have 150 m (200-50=150)

YY' has 100 m length

Consider the R. triangle YY'X

Using pythegorean theoram

$XY=\sqrt{YY'^2+Y'X^2}$

$XY=\sqrt{100^2+150^2}$

$XY=\sqrt{32500}$

$XY=180.27 \cong 180$

Length of XY is 180 m