raam360
31.07.2020 •
Mathematics
Please help! ASAP! 45 points and Brainliest! The sail of a boat is in the shape of a right triangle, as shown below: Which expression shows the height, in meters, of the sail? A) 2 divided by sec 40 degrees B) 2 cosec 40° C) 2 sin 40° D) 2 divided by cot 40 degrees
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Ответ:
2 / cot 40°
Step-by-step explanation:
Because it is a right triangle, we can use trigonometry definitions to solve this. (see attached for reference)
we are given a right triangle together, one of the angles, one side length and we are asked to find the other side which is not the hypotenuse
with this we can use the tangent relationship
tan 40° = opposite / adjacent
tan 40° = ? / 2
? = 2 tan 40°
but recall
tan 40° can be written 1/ (cot 40°)
hence we can rewrite our equation:
? = 2 tan 40°
? = 2 / cot 40° (answer D)
Ответ: