Given:
is the transversal that intersects the lines r and s.
Required:
Pairs of alternate exterior angles.
Explanation:
Line q intersects the lines r and s.
The alternate exterior angles are,

Answer:
Thus the required answer is option 2.
9514 1404 393
Answer:
- sin(θ) = (9√97)/97
- cos(θ) = (-4√97)/97
- csc(θ) = (√97)/9
- sec(θ) = (-√97)/4
- cot(θ) = -4/9
Step-by-step explanation:
The angle is in the 2nd quadrant, where the sine is positive and the cosine is negative.
tan^2(θ) +1 = sec^2(θ) = (-9/4)^2 +1 = 97/16 ⇒ sec = -(1/4)√97
cot(θ) = 1/tan(θ) = -4/9
csc^2(θ) = cot^2(θ) +1 = (-4/9)^2 +1 = 97/81 ⇒ csc = (1/9)√97
sin(θ) = 1/csc(θ) = (9√97)/97
cos(θ) = 1/sec(θ) = (-4√97)/97
The distance of sparky to the fire is 99.445 feet
<h3>
Application of SOH CAH TOA identity</h3>
Given the following parameters
The angle of depression = 6 degrees
If Sparky is looking over the fairly level, hence the hypotenuse is 100 foot
Required
Distance from spark tower to the fire
Using the expression below
Cos 6 = D/100
D = 100cos6
D = 100(0.9945)
D = 99.45foot
Hence the distance of sparky to the fire is 99.445 feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
20%
Step-by-step explanation:
Subtract the original number from the new number: 90-75=15
The increase is 15
Now divide the increase by the original number: 15/75=.20
Then multiply your answer by 100: .20x100=20