Answer:
x = -7
Step-by-step explanation:
This is an exponential equation.
We need to take log(or ln) of both sides and use logarithm property to solve this.
So, let's take ln of both sides, so we have:
Now, we will use this property shown below to further simplify:
So, we now have:
The value of x is -7
Answer:
Height of the building = 115.4 ft.
Step-by-step explanation:
Height of building = AB + 46.4 + CD + 30.5
By applying Pythagoras theorem in ΔABP,
(26)² = (10)²+ (AB)²
676 - 100 = AB²
AB² = 576
AB = 24 ft
By applying sine rule in ΔCDE,
cos(60°) =
CD = CE ×
CD =
CD = 14.5 ft
Total Height = 24 + 46.4 + 14.5 + 30.5
= 115.4 ft
