Download Geometry Worksheet

Geometry Worksheet
Sine, Cosine, Tangent
1.) The grade (slope) of a roadway is often given as a percent. What is the angle of
elevation of a road with a 3% grade?
2.) The world’s steepest railway is the Katoomba Scenic Railway in the Blue Mountains
of Australia. It has a slope of 122%. What is its angle of elevation?
3.) The Americans with Disabilities Act states that wheelchair ramps can have a slope no
1
greater than
. Determine the angle of elevation of a ramp with this slope.
12
4.) Most of the pyramids were built with faces inclined at 52 angles. If a pyramid has
eroded, but each side of its square base can be measured to be 82m, then what was the
height of the pyramid prior to erosion?
5.) A captain of a sailboat sights the top of a lighthouse at a 17 angle of elevation. A
navigation chart shows the lighthouse to be 120m high. How far is the sailboat from the
lighthouse?
6.) A plane has traveled 25.2 miles at a 6 angle of descent (depression).
a.) What is the horizontal distance traveled by the plane?
b.) What is the vertical drop in altitude of the plane?
7.) A piece of land is roughly in the shape of the trapezoid shown below. Determine the
area of the piece of land.
208 ft
73
85 ft