Question

does anyone know this answer
What is the length of line segment QP? Round to the nearest unit.

13 units
17 units
18 units
20 units

Answer 1

Pls. see attachment. 

Answer 2

Answer:

Option D is correct

QP = 20 units

Step-by-step explanation:

From the given figure we have;

QP = n units, PN = 11.5 units and NM = 24 units

Using tangent secant formula we have;

$QP^2 = PN \cdot PM$

First find PM:

PM = PN+NM

PM = 11.5 + 24 = 35.5 units

Substitute the given values we have;

$n^2 = 11.5 \cdot 35.5$

⇒$n^2 = 408.25$

⇒$n = \sqrt{408.25}= 20.2051974$ units

Therefore, the length of the line segment QP to the nearest unit is, 20 units