A juice container is a square prism with base edge length 4 inches. When an 8-inch straw is inserted into the container as shown
, exactly 1 inch remains outside the container. The length of AB is ___ inches, to the nearest inch.
1 answer:
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Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° = =
( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l = ≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long