# geometry homework!!!!

1) Assume that angle A is an acute triangle. If sin A= 0.994, use a calculator to find the measure of angle A to two decimal places.

2) When solving a right triangle , if you are given both acute angles is that sufficient information? Explain.

3) From a point 135 feet from the base of a tree, the angle from ground level to the top of the tree is 49 degrees. Find the height of the tree to the nearest foot.
asked Nov 2, 2013 in GEOMETRY

1. sin A= 0.994

A = sin-1(0.994)

A = 83.72°

Angle is less than 90° This is an acute angle.

2. A right triangle  is a triangle in which one angle is a right angle (that is, a 90 degree angle).

the sum of the angles = 180°

angle1 + angle2 + angle 3 = 180°

angle1 + angle2 + 90 = 180°

angle1 + angle2  = 90°

sum of the angles are 90, so they are acute angles.

3. let h is the height of the tree
the height can be found using trigonometric relations

tan A = opposite side / adjacent height

tan 40 = h / 135

h = 135 * tan 40

h = 135 * 0.839

h = 113.278 ft.