Description
The three right triangles below are similar.
The acute angles 𝐽,𝑃, and 𝑥 are all approximately measured to be 28.9°.
The side lengths for each triangle are as follows.
Note that the triangles are not drawn to scale.
19.59
(a) For each triangle, find the ratio of the length of the side opposite 28.9° to the length of the hypotenuse. Round your answers to the nearest hundredth.
𝐾𝐿𝐽𝐿=
◻
𝑄𝑅𝑃𝑅=◻
◻
𝑌𝑍𝑥𝑍=
◻
(b) Use the ALEKS Calculator to find 𝑠𝑖𝑛28.9°,𝑐𝑜𝑠28.9°, and 𝑡𝑎𝑛28.9°. Round your answers to the nearest hundredth.
𝑠𝑖𝑛28.9°=
◻
𝑐𝑜𝑠28.9°=
◻
𝑡𝑎𝑛28.9°=
◻ (c) Which trigonometric function gives each ratio of sides in part (a)?
sine
◻ cosine
◻ tangent
none of these
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