6.03 Applications of the Pythagorean theorem
Interactive practice questions
The screen on a handheld device has dimensions $9$9 cm by $5$5 cm, and a diagonal of length $x$x cm. What is the value of $x$x?
Round your answer to two decimal places.
A soft drink can has a height of $13$13 cm and a radius of $3$3 cm. Find $L$L, the length of the longest straw that can fit into the can (so that the straw is not bent and fits entirely inside the can).
Give your answer rounded down to the nearest cm, to ensure it fits inside the can.
Edward and Vincent are playing football together. At one point in the game, they are near the same corner of the field. Edward is on the goal line, $11$11 m away from the corner, while Vincent is on the side line, $17$17 m away from the corner.
If the straight line distance between the two players is $d$d m, find the value of $d$d, rounding your answer to two decimal places.
A sports association wants to redesign the trophy they award to the player of the season. The front view of one particular design is shown below.