I think january or december
Given:
The angle of H=90°, HF=91 feet, and GH = 50 feet.
The objective is to find the measure of angle<em> F.</em>
In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.
The trigonometry formula which relates with the opposite and adjacent side is,
![\tan \theta=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.
![\begin{gathered} \tan \theta=\frac{50}{91} \\ \theta=\tan ^{-1}(0.549) \\ \theta=28.787^0 \\ \theta\approx29^0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctan%20%5Ctheta%3D%5Cfrac%7B50%7D%7B91%7D%20%5C%5C%20%5Ctheta%3D%5Ctan%20%5E%7B-1%7D%280.549%29%20%5C%5C%20%5Ctheta%3D28.787%5E0%20%5C%5C%20%5Ctheta%5Capprox29%5E0%20%5Cend%7Bgathered%7D)
Hence, the value of angle <em>F</em> is 29 degree.
Answer:
Our score = 0.60, Amanda's score = 0.25
Step-by-step explanation:
For Amanda
μ = 15 , σ = 4
z- score for X = 16 is (From z table)
z = (X - μ)/σ = (16 - 15)/4 = 0.25
For us
μ = 310 , σ = 25
z score for X = 325 (From z table)
z = (325-310)/25 = 0.60
Since our z score is better than Amanda's z score, we can say we did better
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
Answer:
12.3 feet of chain is your answer.