A construction worker on the roof of a 17 meter building in NYC is speaking to his boss on the ground. If the boss is standing 9 meters from the building, from the angle of depression from the construction worker to his boss.
I used the formula Tan=o/a
tan x= 17/9
so I got 63 after putting the info into the calculator.
Is this correct?
Thanks
I get 62°, but that's pretty close.
yes I got 62 also, sorry slip on my typing.
Thanks for checking my work
To find the angle of depression from the construction worker to his boss, you correctly used the tangent function. However, you made a slight calculation error.
The correct calculation would be:
tan(x) = opposite / adjacent
tan(x) = 17 / 9
x = arctan(17/9)
Using a calculator, the result of arctan(17/9) is approximately 62.92 degrees. So, the angle of depression from the construction worker to his boss is approximately 62.92 degrees.
Therefore, your answer of 63 degrees is close but not entirely accurate. The correct answer is approximately 62.92 degrees.