Point X is 34m due east of a point Y the bearings of a flagpole from and Y are N18°W and N40°E respectively. Calculate the distance of the flagpole from Y

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. Triangle FXY is formed with F representing the flagpole.

The sum of the angles in a triangle is 180

Angle F = 180 - (50 + 72) = 58°

We want to determine FY, the distance of the flagpole from Y. We would apply the sine rule which is expressed as

a/Sine A = b/SinB = c/SinC

Likening it to the given triangle, it becomes

FY/Sin72 = 34/Sin 58

Cross multiplying, it becomes

FYSin58 = 34Sin72

FY = 34Sin72/Sin58

FY = 34 × 0.951/0.848

FY = 38.13m

2,600 divided by 80 = 32.5

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,