We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)
Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft
Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
Answer:
47/12, or 3 11/12
Step-by-step explanation:
9 1/2 - 5 7/12 > convert to improper fractions
19/2 - 67/12
make same denominator (12)
19/2 * 6 = 114/12
114/12 - 67/12 = 47/12
Answer: A
Step-by-step explanation:
The main parent functions are x, and x raised to the power of something (examples:
, etc)
9514 1404 393
Answer:
316 lumens/m²
Step-by-step explanation:
We assume your intensity function is ...
f(x) = 50,000(0.975^x) . . . . x meters below the surface
__
Use 200 for x and do the arithmetic.
f(200) = 50,000(0.975^200) ≈ 316 . . . . lumens/m²