Question

in the diagram below,the angle of depression from P to Q is 45.which of the following is closest to the distance between P and Q

Answer 1

Using relations in a right triangle, it is found that the distance between Q and T is given by:

$h = 32\sqrt{2}$

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

• The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

• The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

• The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching the problem on the internet, it is found that:

• The side opposite to the angle of 45º is of 32 feet.

• The hypotenuse is the distance between P and Q.

Hence:

$\sin{45^\circ} = \frac{32}{h}$

$\frac{\sqrt{2}}{2} = \frac{32}{h}$

$h = \frac{64}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

$h = 32\sqrt{2}$

More can be learned about relations in a right triangle at https://brainly.com/question/26396675