You are standing 200 feet from a tall building. the angle from you feet to the top of the building is 51 degrees

The measure of the third angle is 39°

The height of the building = 247 ft

Length of the hypotenuse = 317.8 ft

Step-by-step explanation:

Let the unknown angle be A

The sum of angles in a triangle is 180°

A + 51° + 90° = 180°

A = 180° - (51° + 90°)

A = 39°

For the height of the building, x, we will use the sin cos tan relations.

Tan 51° = (x/200)

x = 200 × tan 51° = 247 ft

And using Pythagoras theorem, we can obtain the length of the hypotenuse

(Hyp)² = 200² + 247²

(Hyp) = 317.8 ft

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