In ΔOPQ, the measure of ∠Q=90°, PO = 17, QP = 8, and OQ = 15. What ratio represents the tangent of ∠P?

1.875

Step-by-step explanation:

Step 1 :

Given,

In ΔOPQ,

∠Q=90°,

PO = 17,  QP = 8 OQ = 15

Step 2:

We know that the hypotenuse will be the largest side of a triangle.

So in the given triangle PO = 17 is the hypotenuse.

With respect to angle P, OQ represents the opposite side of angle P  and PQ will be the adjacent side.

Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.

Step 3 :

So using the above we have,

tangent of angle P = opposite side /adjacent side = 15/8 = 1.875

15/8

Step-by-step explanation:

The formula for tangent of an angle is the ratio of the opposite side length to the adjacent side length in relation to the angle.

In this case,side OQ is opposite to ∠ P and side QP is the adjacent side to ∠ P

tan ∠ P=15/8

Apple seeds are toxic to most birds, such as the Conure

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sry bout the periods, thinks its a bad word

The narrator

Explanation:

if the polygon is 'regular', then each outer angle is

(180) - (the inner angle) .

so (180 - 156) = 24 degrees.

I do not think that the Nazi party allowed the BBC to broadcast or write stories about Germany without the consent of the party. But do to the Nazi parties censorship it is very unlikely that the BBC was allowed in the country exempt for the Olympic games held in 1936.

(PS: I'm sorry if the swastika if offensive to you, but I am a History wiz and it is a big part of history)