Answer:
4). 47 - 29i
Step-by-step explanation:
(5+√-36)*(1-√-49)=5*1 -5√-49+1*√-36 -√-36√-49 = 5-5*7i +6i-6i*7i=
=5-35i+6i-42(-1)=5+42-41i= 47 - 29i
Multiplying a - and a + equals a - , -8r18
6 foot makes 4.5 foot shadow
1 foot makes=4.5/6
so 50 foot =4.5/6*50 = tree makes 37.5 foot shadow
The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
<h3>How to determine the distance AC?</h3>
To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
Read more about line of tangents at:
brainly.com/question/6617153