Type the correct answer in the box. Round off your answer to the nearest integer.
∠A and ∠C are right angles. m∠p = _ degrees.
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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,
BD^2=AB^2+AD^
BD^2=5^2+6^2=25+36=61BD
2
=5
2
+6
2
=25+36=61
BD=7.81024..\sim 7.8BD=7.81024..∼7.8
Now, In Δ DCB
\cosp=\frac{CD}{BD}=\frac{4}{7.8}=0.513\cosp=
BD
CD
=
7.8
4
=0.513
p=\cos^{-1}0.513=59.14^{\circ}p=cos
−1
0.513=59.14
∘
The measure of ∠p is 59.1
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