Assuming PQRS is a parallelogram, we have PQ = RS, and angles S and R are supplementary so their measures sum to 180°.
So
5<em>x</em> = <em>x</em> + 12
4<em>x</em> = 12
<em>x</em> = 3
→ PQ = 5<em>x</em> = 15
and
12<em>z </em>° + 6<em>z</em> ° = 180°
18<em>z</em> ° = 180°
<em>z</em> = 180/18 = 10
→ m∠<em>S</em> = 12•10° = 120°
Answer: 128.67 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression from the top of Nisha's window to the bottom of the sculpture ,the opposite side is the height Nisha's window from the ground (60), and the adjacent side is the distance between the building and the sculpture (x).
Replacing with the values given:
Tan 25 = 60/x
Solving for x
x =60 / tan 25
x = 128.67 feet.
Feel free to ask for more if needed or if you did not understand something.
This answer is already to the nearest tenth. The 5 is in the tenth's place.