What is the measure of angle a?

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Answer 1 · 2018-05-30T05:20:04

Answer to nearest hundredth is angle #a# = #53^@#

We can use SOHCAHTOA

SOH - #sintheta# =Opposite/Hypotenuse

CAH - #costheta# = Adjacent / Hypotenuse

TOA - #tantheta# = Opposite / Adjacent

To find angle #a# , we can use #Cosa# = Adjacent / Hypotenuse

Adjacent = #3cm#
Hypotenuse = #5cm#

#cosa# = #3/5# = #0.6#

#a# = #Cos^-1 0.6# = #53.1301^@#

So the answer to nearest hundredth is angle #a# = #53^@#