Solve: log (7t + 2) = 2t =
2 answers:
Answer:
Step-by-step explanation:
We begin with the equation:
The first thing we must do is remove the log. In this case, the base of this log is 10, which means that we must have each side of this equation have a base of 10.
This gives us
The base 10 and the log will cancel out to give us
Then we can solve for t
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Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
