The angle measure is 30 degrees.
Drawing out an image, the angle the is between the ground at the hypotenuse (the slanted guy wire), it creates a triangle with the utility pole that was already on the side. The angle between the utility pole and the ground is obviously 90 degrees because it is assumed to be at a straight standing stance.
Normally these two given angles would be added and then subtracted from 180 degrees (the law of Sum of Angles in a Triangle).
60 + 90 = 150 ... 180 - 150 = 30
Also, this can be supported by the 30-60-90 Theorem, which states that if a triangle contains 2 of the 3 angles, the other angle will be the missing one.
From the measure of 40°, you can write
tan(40°) = 100/x, where x is the base from the building to the tower
⇒x=100/tan(40°) = 119,18 m
2) From the measure of 30°, you can write
tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.
Then, y = tan(30°) * 119,18 = 68,81 m
3) The height of Jill's building is 100 - 68,81 = 31,19 m
Media.discordapp.net/attachments/782414373888458783/826224189828366377/video0.mp4
Answer:
≈ 634
Step-by-step explanation:
n = 847(1 * .07)^4
n = 847(0.93)^4
n = 633.60005247
n ≈ 634