Solving Triangles
In isosceles triangle with sides 10, 10, and
15ft, find all the angles to the nearest degree
and the area to the nearest unit.
Angles: 41o, 41o, 98o
Area: 49ft2
In a triangle b = 5, c = 10, ∠B = 20o
2 Solutions
An airplane flies at an altitude of 10,000ft.
The angle of depression from the plane to a
tree is 13o. How far must the plane fly to be
directly over the tree? Round to the nearest
foot.
43,315ft
Bill determines the angle of elevation to the
top of a building measures 40o. If he walks 102
feet closer to the building the angle of
elevation is 55o. Find the height of the
building to the nearest foot.
208ft
A parallelogram has side lengths 16 and 20in.
One angle of the parallelogram measures 120o.
Find each diagonal to the nearest tenth.
31.2in and 18.3in
The vertex angle of an isosceles triangle is
150o. If the area is 9cm2, find each leg.
Each leg = 6cm
417u2
An airplane flies on a course of 130o at a speed
of 1100km/h. How far east of its starting point
is it after 3 hours? Round to the nearest km.
2528km
A ship leaves port and proceeds west 30 miles.
It then changes course to 20o until it is due
north of its origin. How far north of its origin
is it? Round to the nearest mile.
82miles
From the mall proceed 500m northeast to the
Target, then 300m east along the highway to
the gas station, then 200m S15oE to the edge
of Woodbourne Road and finally along
Woodbourne Road back to the mall.
125,000m2
From the southeast corner of the cemetery on
Burnham Road, proceed S78oW for 250m along
the southern boundary of the cemetery until a
granite post is reached, then S15oE for 180m to
Allard Road, then N78oE 300m along Allard
Road until it intersects Burnham Road, and
finally N30oW along Burnham Road back to the
starting point. Sketch the plot and find the
area.
49,500 ft2