3. Two fire towers are 30 kilometers apart, tower A being due west of tower B. A fire is spotted from the towers, and the

bearings from A and B are E 14° N and W 34° N, respectively.

Find the distance d of the fire from the line segment AB.

Step-by-step explanation:

From the attachment we have a triangle ABD, but sum of angle in a triangle is 180 which means angleABD=180

Angle A=14

Angle B= 34

Then angle D= 180-(14+34)=132deg.

From trigonometry

a/sinA=b/sinB = c/sinD

a/sin14 = b/sin34= 30/sin132

But sin(14)=0.991

Sin(132)= 0.0531

Then substitute we have

a/0.991 = 30/0.0531

Then cross multiply we have

0.0531×a=30× 0.991

a= 29.73/0.0531

a=9.77km

Therefore, the distance d of the fire from the line segment AB is 9.77km

answer

false

explanation

these practices describe the manner the land use outcome is attained. land management methods implemented by corporations are a mandatory because they are a driver for better land use results economically, socially and environmentally. corporations are required to understand the connection between land use , and land management practices to support sustainable land use policies

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180