Answer:
Yes the ladder is safe because 59.25 degrees < 75 degrees
Step-by-step explanation:
In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side
Answer:
145
Step-by-step explanation:
y=kx
87=3k
k= 87/3
k= 29
y=29×5
y= 145
Answer:
The answer to your question is csc Ф = ![\frac{-5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%7D%7B4%7D)
Step-by-step explanation:
Process
1.- Determine the sign
We must determine csc Ф in the forth quadrangle, here csc is negative.
2.- Determine the hypotenuse
c² = a² + b²
c² = 3² + (-4)²
c² = 9 + 16
c² = 25
c = 5
3.- Determine csc Ф
csc Ф = ![\frac{hypotenuse}{opposite side}](https://tex.z-dn.net/?f=%5Cfrac%7Bhypotenuse%7D%7Bopposite%20side%7D)
csc Ф =
= ![\frac{-5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%7D%7B4%7D)
Answer:
Y = 32.7°
Step-by-step explanation:
We will apply the Cosine law in the given triangle XYZ,
x = 90 ft
y = 55 ft
z = 50 ft
We have to find the measure of angle Y.
y² = x² + z² - 2xzCosY
(55)² = (90)² + (50)² - 2(90)(50)cosY
3025 = 8100 + 2500 - 9000.cosY
9000.cosY = 10600 - 3025
cosY = ![\frac{7575}{9000}](https://tex.z-dn.net/?f=%5Cfrac%7B7575%7D%7B9000%7D)
= 0.84167
Y = ![\text{cos}^{-1}(0.84167)](https://tex.z-dn.net/?f=%5Ctext%7Bcos%7D%5E%7B-1%7D%280.84167%29)
Y = 32.68 ≈ 32.7°
Therefore, measure of angle Y = 32.7°