Answer:
The crane will go 40 ft up the building wall.
Step-by-step explanation:
To solve this, we need to use the Pythagorean Theorem, a²+b²=c².
First, we know that the crane is stationed 30 ft away from the building. As such, we know this is one of the legs of our right triangle. We also know that the hypotenuse is the boom of a construction crane, so we know that 50 will be c. Now, we simply plug in the equation. Remember that the building height will be the other missing leg we need to find.
30²+b²=50²
900+b²=2500
900-900+b²=2500-900
b²=1600
√b²=√1600
b=40
The crane will reach up to 40 ft up the building.
