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Answer:
17.7 and 4.09
Step-by-step explanation:
Using the sine ratio in both right triangles
(49)
sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )
26 × sin43° = a, thus
a ≈ 17.7 ( to 1 dec. place )
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(50)
sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )
6 × sin43° = a , thus
a ≈ 4.09 ( to 2 dec. places )