Mathematical Investigations IV
Name:
Mathematical Investigations IV
Trigonometry - Beyond the Right Triangles
More on Area
Now it’s time for some practice.
In each exercise, when it asks you to “solve” the triangle, find the missing parts (sides and
angles) and find the area.
1.
Solve the triangle, if GHJ , G = 38°, g = 14, j = 11
2.
Solve the triangle, if XYZ , Y = 62°, x = 132, z = 87
3.
From a fire tower 42 ft high, a forest ranger spots a moose. The angle of depression to the
animal is 8°. How far is the moose from the base of the tower?
Trig. 5.1
Rev. S06
Mathematical Investigations IV
Name:
4.
28.8o
The triangle shown is the cross section of a cone.
Find the area of the cross section and the volume
of the cone.
46.3
5.
46.3
Find x to the nearest hundredth.
86.3 °
x
124
49.3 °
6.
Find the area of the trapezoid.
24.6
56°
56°
43.8
7.
Suppose a triangle has two sides with lengths 5 and 8 and included angle . Express the
area of the triangle as a function of . State the domain and range of this function.
For what value of  is this function a maximum?
Trig. 5.2
Rev. S06