Step-by-step explanation:
Use double and triple angle identities:
sin(2x) + cos(3x)
2 sin x cos x + 4 cos³x − 3 cos x
Answer:
29.28 degrees.
Step-by-step explanation:
sin x / 16.2 = sin 49 / 25
Cross multiply:
25 sin x = 16.2 * sin 49
sin x = (16.2 * sin 49) / 25
sin x = 0.48905
x = 29.28 degrees.
Answer:
Balance = $124.53 – $57.49 + $103.49 = $170.53
Step-by-step explanation:
The building is about 70.95 feet tall.
The building and the laser range will form a right triangle. You can use the Pythagorean Theorem to find the height of the building.
112^2 + b^2 = 131^2
b = 67.95
However, don't forget to add on 3 because that is the height of the laser range.
Answer:
∠WVR = 156
Step-by-step explanation:
Angles in triangle add up to 180 - SEE ATTACHMENT - LEFT TRIANGLE
∴ ∠SRT + RST + RTS = 180
∴ ∠SRT + 109 + 47 = 180
∠SRT = 24
Alternate Angle Theorem - SEE ATTACHMENT - RIGHT TRIANGLE
∠SRT = 180 - ∠WVR
24 = 180 - ∠WVR
24 - 180 = - ∠WVR
-156 = - ∠WVR
∠WVR = 156
