Answer:
x = 2
Step-by-step explanation:
Answer:
Sin, Cos, Tan and others are used to calculate the ratios of the sides of a right angled triangle by taking a certain angle as the angle of reference.
On the other hand, Sin‐¹, Cos‐¹ and Tan-¹ are used to find the reference angle used to calculate the ratio of sides.
For this question,
we need to find which option should used to calculate the angle the slide makes with the vertical support.
So the option will have to be either A, C or E.
here, the base is 2.81m and hypotenuse is 3.64m.
we know, Cos = base / hypotenuse
So the angle is given by Cos-¹(2.81/3.64)
Option C
Answer:
D. 22,417 feet
Step-by-step explanation:
Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.
Hypotenuse = x and Opposite = 15,000feet
According to SOH;
![sin 42^0 = \frac{Opposite}{Hypotenuse} \\\\Sin42^0 = \frac{15000}{x}\\ \\x = \frac{15000}{sin42^0}\\\\ \\](https://tex.z-dn.net/?f=sin%2042%5E0%20%3D%20%5Cfrac%7BOpposite%7D%7BHypotenuse%7D%20%5C%5C%5C%5CSin42%5E0%20%3D%20%5Cfrac%7B15000%7D%7Bx%7D%5C%5C%20%5C%5Cx%20%3D%20%5Cfrac%7B15000%7D%7Bsin42%5E0%7D%5C%5C%5C%5C%20%5C%5C)
![x = \frac{15000}{ 0.6691} \\\\x = 22,417 feet](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B15000%7D%7B%200.6691%7D%20%5C%5C%5C%5Cx%20%3D%2022%2C417%20feet)
Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet