A² + b² = c²
5² + 8² = x²
x² = 25 + 64
x² = 89
x = √89
x = 9.43
Answer: 311.5
Step-by-step explanation: 35*8.9=311.5
311.5/35=8.9
Answer:
3
Step-by-step explanation:
Answer:
The asteroid will not take out Lois' penthouse.
Step-by-step explanation:
Since the distance between Clark and the base of Lois' building is x = 75 feet and the asteroid is at an angle of elevation of Ф = 62°. These two components form a right-angled triangle with opposite side h which is the height of the asteroid above the ground.
So, by trigonometric ratios,
tanФ = h/x
h = xtanФ
h = 75 ft × tan62°
h = 75 ft × 1.8807
h = 141.1 feet
Since h = height of asteroid above the ground = 141.1 feet is greater than height of the penthouse above the ground = 100 feet, the asteroid will not take out Lois' penthouse.
