A tall pole is constructed in a flat parking lot; the pole stands straight up and forms a right angle with the ground. The pole casts a shadow, as shown below. The length of the shadow is 12 feet. Find the height of the pole, to the nearest foot. You may use a calculator.

Guest Mar 24, 2020

#1**+2 **

NOT CPhil here...

Remember TAN function in a RIGHT triangle = opposite side / adjacent side ?

The opposite side is the height of the pole.....the adjacent side is given as 12 ft

SOOOO tan 70 = 2.747 (from calculator) and this = opposite/ adjacent = height /12

2.747 = height /12 Multiply both sides of this equation by 12

2.747 (12) = height in feet You can punch the numbers in your calculator Ta Da !

ElectricPavlov Mar 24, 2020

#1**+2 **

Best Answer

NOT CPhil here...

Remember TAN function in a RIGHT triangle = opposite side / adjacent side ?

The opposite side is the height of the pole.....the adjacent side is given as 12 ft

SOOOO tan 70 = 2.747 (from calculator) and this = opposite/ adjacent = height /12

2.747 = height /12 Multiply both sides of this equation by 12

2.747 (12) = height in feet You can punch the numbers in your calculator Ta Da !

ElectricPavlov Mar 24, 2020