Question

Spongebob Squarepants is watching King Kong climb the Voice of America

radio tower. Spongebob is 80 meters away from the tower. He looks up at

King Kong with an angle of elevation of 23º. Find King Kong's height to the

nearest tenth of a meter.

Answer 1

127.1 m

Explanation:

We are given the value of the adjacent side and we are to find the value of the opposite side

Tan would be used to determine this value

Tan 23 = opposite / adjacent

1.5882 = x / 80

x = 80 x 1.5882

x = 127.056 m

x = 127.1m

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram showing the angle of elevation