Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
Why? how much points do you have to spare?
<u>Answer:</u>
<h2>
θ ≈ 81.37°</h2>
<u>Explanation:</u>
let the angle the ladder makes with the ground be θ
θ = cos⁻¹(3/20)
θ = cos⁻¹(0.15)
θ ≈ 81.37°
Answer:
27
Step-by-step explanation:
643-166=477
477÷18=26.5
Then, round to the nearest whole.
Which makes it 27 sets.
Answer:
area is length * width
12* 10 = 120cm
the answer is 120cm
Step-by-step explanation: