Answer:
The measure of ∠p is 59.14°
Step-by-step explanation:
Given the figure in which ∠A and ∠C are right angles.
The length of AD=6 units , AB=5 units, CD=4 units
we have to find the measure of ∠p
In ΔBAD by Pythagoras theorem,
[tex]BD^2=AB^2+AD^[/tex]
[tex]BD^2=5^2+6^2=25+36=61[/tex]
[tex]BD=7.81024..\sim 7.8[/tex]
Now, In Δ DCB
[tex]\cosp=\frac{CD}{BD}=\frac{4}{7.8}=0.513[/tex]
[tex]p=\cos^{-1}0.513=59.14^{\circ}[/tex]
The measure of ∠p is 59.14°
