Question

For the triangle shown, find section x.

if you can explain the answer that would be great, thank you !!

Answer 1

D

Explanation:

Using the trigonometric identity

• tan²x + 1 = sec²x

tanx =
`(opposite)/(adjacent)` =
`(5)/(7)`, thus

sec²x = (
`(5)/(7)`)² + 1

=
`(25)/(49)` +
`(49)/(49)` =
`(74)/(49)`

Take the square root of both sides

secx =
`\sqrt{(74)/(49) }` =
`(√(74) )/(7)` → D