Respuesta :

You gotta use SOH-CAH-TOA. So make your angle delta or A the angle we will be working with. Than looking at that angle we have the adjacent and opposite already given. So you would do cosA= 4/3. Than you would have to isolate A by putting inverse of cos on other side. So, A= cos^-1(4/3). If you plug that in your calculator you should get the correct answer. :D

Answer:

[tex]53.1^{\circ}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem, the length of side [tex]AB[/tex] side is [tex]5[/tex]. The Law of Sines applies to every triangle and is given by:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Therefore, we can use the Law of Sines to set up an proportion and solve for [tex]m\angle A[/tex]:

[tex]\frac{\sin 90^{\circ}}{5}=\frac{\sin A}{4},\\\sin A=\frac{4\sin 90^{\circ}}{5},\\m\angle A=\arcsin(\frac{4}{5}),\\m\angle A\approx \fbox{$53.1^{\circ}$}[/tex].

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