Answer:
I think A
Step-by-step explanation:
Answer:
the rate at which the distance between the planes is changing is 825 each hour
Step-by-step explanation:
The computation of the rate at which the distance between the planes is changing is shown below
= Travelling one plane + travelling another plane
= 450 mph + 375 mph
= 825 mi each hour
Therefore the rate at which the distance between the planes is changing is 825 each hour
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Answer:
The exact value of tan(M) is 5/12 ⇒ answer (C)
Step-by-step explanation:
* Lets revise the trigonometry functions
- In ΔABC
# m∠B = 90°
# Length of AB = a , length of BC = b and length of AC = c
# The trigonometry functions of angle C are
- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse
- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse
- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C
* Now lets solve the problem
- In ΔONM
∵ m∠N = 90°
∵ MN = 12
∵ ON = 5
∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)
∴ tan(M) = 5/12
* The exact value of tan(M) is 5/12