Answer:
Step-by-step explanation:
Given
Required
Solve, in terms of i
We have:
Solve the expressions in bracket
Express -4 as 4 * -1
Split
In complex numbers;
So, we have:
Factorize
Split
Answer: plot a point at (-8, -5)
The y coordinate flips from positive to negative, or vice versa, when we reflect over the horizontal x axis. The x coordinate stays the same.
The rule can be written as
Answer:
78.64 feet
Step-by-step explanation:
Refer the attached figure
Height of the tall building = AC
The angle of depression from the top of one building to the foot of a building across the street is 53°. i.e.∠ADC = 53°
The angle of depression to the top of the same building is 19°.i.e.∠AEB = 19°
Height of small building = ED
The two buildings are 80 feet apart i.e. CD =BE= 80 feet
In ΔABC
In ΔABE
AC - AB = BC
106.16-27.52=BC
78.64=BC
So, BC = ED = 78.64 feet
Hence the height of the shorter building is 78.64 feet
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