Discover new information and get your questions answered with IDNLearn.com. Join our interactive Q&A platform to receive prompt and accurate responses from experienced professionals in various fields.
Sagot :
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem = [tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex]
a = 7 and b = 11
[tex]a^{2}[/tex] = 49
[tex]b^{2}[/tex] = 121
Plugging in the values, we will get:
[tex]c^{2}[/tex] = 49 + 121
[tex]c^{2}[/tex] = 170
c = [tex]\sqrt{170}[/tex]
To calculate the unknown angle B, we can use law of sine.
Law of sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
So,
[tex]\frac{c}{sinC}[/tex] = [tex]\frac{b}{sinB}[/tex]
[tex]\frac{\sqrt{170} }{sin90}[/tex] = [tex]\frac{11}{sinB}[/tex]
Sin90 = 1
sinB = [tex]\frac{11}{\sqrt{170} }[/tex]
B = [tex]sin^{-1}[/tex] ([tex]\frac{11}{\sqrt{170} }[/tex])
B = 57.5°
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.
