Question

Type the correct answer in the box. Round off your answer to the nearest integer.


∠A and ∠C are right angles. m∠p = _ degrees.

Answer 1

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