Trigonometry Answers

The angle of elevation of the top a rock from the top and foot of a 100m high tower are 30 and 45 degree.Find the height of the rock.

find the slope of the line that is a) parallel and b) perpendicular to the given line
1a) 5x+2y=10

1b) y=-7

1c) x=10

write an equation for the line in point/slope form and slope/intercept form that has the given condition.
2a) passes through (-7,2) and is parallel to 7x+2y=0

2b) passes through (3,-1) and is perpendicular to y=2x-3

tan^2(4)-sec^2(4)=

a boat was docked 30.0 meters from the base of a cliff. a sailor used a clinometer to sight the top of the cliff. The angle between the horizontal and the line of sight was 74 degrees. The sailor held the clinometer 1.5 meters above the surface of the water. Determine the height of the cliff to the nearest tenth of a meter.

Let f(x)=|x-5| and g(x)=(1/x)
Write the given function as a composition function
using f and g.

H(x)=|(1/x)-5|

if f(x)=x^2+3 and g(x)=3x-1
then find the following

1g. (f * g)(x)

1h. (f * g)(1)

1i. (g * f)(x)

tanα+ctanα=a find sinα

prove that under root sec square a plus under root cosec square a=cot a +tan a

Let f(x)=|x-5| and g(x)=1/x

write the given function as as a compostition function using f and g.

H(x)=|(1/x)-5|

If f = (1, 2), (2, 3), (3, 4), (4, 5),
g = (1, -2), (3, -3), (5, -5), and
h = (1, 0), (2, 1), (3, 2),

find the following and state the domain

2d. f / h

2f. g * f * h