Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of elevation to the kite is 25 degrees. What id the distance, b, to the nearest foot marcos is standing from the tree?

9514 1404 393

  195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

  Tan = Opposite/Adjacent

Referring to the attached diagram, we have ...

  tan(16°) = BT/MB

  tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

  BT = MB·tan(16°)

  BK = MB·tan(25°)

  BK -BT = 35 = MB(tan(25°) -tan(16°))

Dividing by the coefficient of MB gives ...

  MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

  MB = 195 . . . feet

Marcos is standing 195 feet from the base of the tree.

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

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a