A toddler’s playground has two slides on either side. The slide on the left is situated at a 45° angle to the ground and is 52 centimeters away from the base of the playground. The slide on the right is positioned at a 30° angle to the ground and is 98 centimeters away from the playground’s base. What is the total length of both slides on this playground rounded to the nearest tenth of a centimeter?
Use Pythagorean's theorem to find the length of the hypotenuse.
for which triangle ?
The answer is 269.5 cm. You set the problem up and get xsin45=52 for the slide on the left and xsin30=98 for the slide on the right sin45=.7071 and sin30=.5000 Divide 52 by .7071 and Divide 98 by .5000 You end up getting 73.5398 and 196 .....
Oh, yeah, doh. You first need to find the height of the each triangle first. Use your trig definitions for the right triangle first. Then use Pythagorean's theorem.
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