The length of the shadow of a building is 120 meters, as shwon below. what is the height of the building

the height of the building is 207.84

step-by-step explanation:

have a look at the attached picture:

the figure shows that the side we are given is adjacent to the 60° angle. the the side which we have to find is opposite to this angle. therefore the ratio of opposite to adjacent is tangent.

the equation becomes:

tan 60 = x/120

multiply both sides by 120

120 tan 60 = x/120 *120

120 tan 60 = x

207.84 = x

hence the height of the building is 207.84

b

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116