Question

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

Answer 1

Hope this helped you.

Answer 2

Find out the m∠p .

To prove

As in ΔDAB is a right triangle

Apply pythagorean theorem

Hypotenuse ² = Perpendicular ² + Base²

DB² = AB² + AD²

AB = 5 units

AD = 6 units

Put in the above formula

DB² = 5² + 6²

= 25 + 36

= 61

`DB = √(61)\ units`

= 7.8 units (approx)

Now in ΔDCB is a right triangle .

By using the trignometric identity .

`cosp = (Base)/(Hypotenuse)`

`cosp = (DC)/(DB)`

As DC = 4 units

DB = 7.8 units (approx)

Put all the values in the trignometric identity .

`cos p = (4)/(7.8)`

`\angle p = cos^(-1)((4)/(7.8))`

∠p = 59.15 ° (approx)