MATH SOLVE

2 months ago

Q:
# 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= °

Accepted Solution

A:

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]

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]