Question

The angle of elevation to the top of a 20-story skyscraper is measured to be 10 from a point on the ground 1,500 feet from the building. Find the height of the skyscraper in feet, correct to three decimal places.
(Points : 5)
260.47

73.86

972.54

264.49 <--

Let f(x) = sin-1x. Then the domain of f(x) is [-1,1] and the range is all real numbers.
(Points : 5)
True

False <--

Answer 1

first question is correct

#2 should be true.
sin^-1 (x) means find the angle Ø so that sinØ = x
since the result of taking the sine is always a number between -1 and +1
then for sin^-2 (x) , your choice of x has to be -1 ≤ x ≤ 1

e.g try taking sin^-1 (1.4) on your calculator
that is
2nd
sin
1.4
=

you should get an "error" result

Answer 2

Thank you so much!