Question 356746
Angle A=60 degrees, side c = 15 feet.  Round angles to the nearest degrees, sides to nearest foot.

this is a 30-60-90 right triangle
the sides are in the ratio of 1:2:sqrt3
Angle = 60 so angl c = 30 . if c = 15 ft a= 15sqrt3 & b = 30
2.  A ladder rests against a house, making an angle of 52 degrees with the ground.  If the ladder touches the house at a point 52 feet from the ground,, how long, to the nearest foot, is the ladder?

the ladder ,the wall and the ground distance of ladder form a right triangle.
Angle = 52 deg. distance on ground = 52 feet.
Cos angle = base /hypotenuse
cos 52 =52 /hypotenuse
hypotenuse = 52/cos 52
ladder length = 84 feet.

3.  A boy whose eye level is two-feet above the ground is standing 18 fet from a tree.  His angle of elevation to the top of the tree is 26 degrees.  How high, to the nearest foot is the tree?
Tan 26 = height /base
Tan 26 * 18 = height 
8.8 feet.
8.8 +2 = 10.8 height of tree

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