Question

I need a lil bit of help plz

Answer 1

PA ≈ 4.62 units

Explanation:

∠ AOP = ∠ ORB ( alternate angles )

∠ APO = ∠ RBO ( both right angles ), thus

Δ ORB and Δ AOP are similar by the AA postulate.

Thus the ratios of corresponding sides are equal, that is

`(OR)/(AO)` =
`(BO)/(PA)`, substitute values

In right triangle RBO, BO = 13 (5- 12- 13 right triangle )

`(13)/(5)` =
`(12)/(PA)` ( cross- multiply )

13PA = 60 ( divide both sides by 13 )

PA ≈ 4.62 ( to the nearest hundredth )