MATH-REVIEW
TRIGONOMETRY
The sides of a triangle ABC are as follows: AB = 3cm, BC = 4cm, and CA = 6cm. What is
the largest interior angle of the triangle?
Triangle ABC has the following sides. AB=11, BC=5.4 and angle C=154°. Determine Angle
A.
Two angles of a triangle are 103.2° and 43.3°. The side opposite the obtuse angle has
length 2.7. Solve the triangle.
Solve the triangle with sides 4, 5, and 12.
An isosceles triangle has two sides whose lengths are 15 and 17 cm respectively. Find
the greatest possible perimeter of this triangle.
Two sides of a triangle measure 36 m and 49 m. One possible dimension of the third
side is?
Two sides of a triangle measure 14 m and 25 m. the perimeter of the triangle may be?
If the shadow of a tree increased by 3 meters when the angle of elevation of the sun’s
rays decreases from 65° to 50°, find the height of the tree
A surveyor sets up her transit at a point A and measured the angle of elevation of
the top of a building and found it to be 26.4°. She moved the instrument 74.5m close
to the building and measured the angle of elevation of the top of the building as
52.6°. Find the height of the building.
From a point A at the foot of the mountain the angle of elevation of the top B is
60°, after ascending the mountain one (1) mile at an inclination of 30° to the horizon,
and reaching a point C, an observer finds that the angle ABC is 135°. The height of
the mountain in feet is?
From the top of the tower A, the angle of elevation of the top of the tower B is 46°.
From the foot of tower B the angle of elevation of the top of the tower A is 28°.
Both towers are on a level ground. If the height of tower B is 120 m, how high is
tower A?
A tower of height ‘h’ meters is located due west from point A. The angle of elevation
of the top of the tower from A is known to be 48°. Another point B, 30° south of West
from the tower, on the same level plane as the base of the tower and A, the angle of
elevation of the top of the tower is 54°. If A and B are 280 meter apart, what is the
height of the tower?
