Answered

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In the right triangle above, x=60. What is the length of the side AB?

Sagot :

MrRoyal

Answer:

[tex]AB = 8[/tex]

Step-by-step explanation:

Given

[tex]x = 60[/tex]

[tex]BC = 4[/tex]

See attachment

Required

Find AB

From the attachment, using cosine rule:

We have:

[tex]cos\ x = \frac{BC}{AB}[/tex]

Make AB the subject

[tex]AB = \frac{BC}{cos\ x}[/tex]

Substitute values for BC and x

[tex]AB = \frac{4}{cos\ 60}[/tex]

[tex]AB = \frac{4}{0.5}[/tex]

[tex]AB = 8[/tex]

View image MrRoyal
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