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>
You would take 320 and multiply it by .60 and you would get 192. So the answer is B) $192.
Answer:
The first plant produces 2x + 21 more items daily than the second plant.
Step-by-step explanation:
The daily production of the two plants are:
Plant 1: 5x + 14
Plant 2: 3x - 7
Compute the number of items first plant produces more than the second plant as follows:
Thus, the first plant produces 2x + 21 more items daily than the second plant.
Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
Step-by-step explanation:
62= -3k + 7k + 42 + 4
62 - 42 - 4 = 4k
16 = 4k
4 = k
