Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = $\frac{opposite}{sdjacent}$

Tan 13 = $\frac{102}{x}$

x = $\frac{102}{Tan 13}$

= 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = $\frac{102}{y}$

y = $\frac{102}{Tan 22}$

= 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

= 189.3 feet

5 0

3 years ago

Convert to the product of multiplication<br>a^2-b^2-4b-4

kirill [66]

$a^2-b^2-4b-4$ in form of multiplication is $(a-b)(a+b)-4(b+1)$ .

<u>Step-by-step explanation:</u>

We know that factors are the numbers that are being multiplied together . As 6532*7 = 45724 .Here 6532 & 7 are the factors and 45724 is product of the factors .

Here , we need to convert to the product of multiplication

a^2-b^2-4b-4 or , $a^2-b^2-4b-4$ :

⇒ $a^2-b^2-4b-4$

We know by identity that , $p^2-q^2 = (p-q)(p+q)$

⇒ $(a-b)(a+b)-4b-4$

Taking common term out as -4 :

⇒ $(a-b)(a+b)-4(b+1)$

Therefore , $a^2-b^2-4b-4$ in form of multiplication is $(a-b)(a+b)-4(b+1)$ .

7 0

3 years ago

PLS HELP..DUE IN LIKE 2 MINUTES The coordinates of the endpoints of CE are C(-3, -7) and E(7,-2). Point M(3,-4) is in CE. What i

TiliK225 [7]

Answer: 3:2
The ratio is 3:2

7 0

3 years ago

A right triangle has one angle that measures 83º. What is the measure of the other acute<br> angle?

Nadusha1986 [10]

180-(83+90)=180-173=7

7 0

3 years ago