What is the measure of ∠D ?Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.m∠D= °
Question
Answer:
You need trig to find out the angles. Remember: SOH-CAH-TOA!
Sine€ = O/H, Cosine€ = A/H, Tangent€ = O/A
O = opposite, H = hypotenuse, A = adjacent
TOA: tanD = O/A = 25/45 = 5/9 = 0.5556
Now use arc-tan feature of calculator:
[tex] { \tan(0.5556) }^{ - 1} = 29.0546 \\D= 29.05 \: degrees[/tex]
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