Answer:
The measure of the third angle is 39°
The height of the building = 247 ft
Length of the hypotenuse = 317.8 ft
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
Hope this Helps!!!