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Transcript
Triangle Trig HW 12-5
12-5
12-5
Name_________________________ No._____
Pg 542/1-4, 7, 17-20
Pg 543 prob/1-13 odd
Page 542:
Give lengths to three significant digits and angle measures to the nearest
tenth of a degree or nearest ten minutes.
Solve each right triangle ABC.
1. A  28.6, c  145
2. B  42.8, c  16.3
3. B  71.5, a  1.82
4. A  57.5, b  355
7. a  460, c  640
17. The height of an isosceles triangle is 10
units and its base is 16 units long. Find its
angles.
18. The height of an isosceles trapezoid is 12
units and its bases have lengths 25 and 15
units. Find its angles.
19a. Find the perimeter of a regular pentagon
inscribe in a unit circle (a circle with radius 1).
Triangle Trig HW 12-5
19b. Find the perimeter of a regular pentagon
circumscribed about a unit circle.
Name_________________________ No._____
20. Repeat exercise 19 for a regular polygon
having 10 sides.
a.
b.
Page 543:
Give lengths to three significant digits and angle measures to the nearest tenth of a degree.
1. What is the angle of elevation of the sun
3. In one minute a plane descending at a
when a flagpole 22.5 m high casts a shadow
constant angle of depression of 11.5 travels
32.4 m long?
1500 m along its line of flight. How much
altitude has it lost?
5. A television camera on a blimp is focused on
a football field with angle of depression 18.3 .
A range finder on the blimp determines that
the field is 1850 m away. How high is the
blimp?
7. Opposite corners of a small rectangular park
are joined by diagonal paths, each 240 m long.
Find the dimensions of the park if the paths
intersect at a 36 angle.
9. From a point 100 m from a building, the
angles of elevation of the top and bottom of a
flagpole atop the building are 62.2 and 59.5 .
How tall is the flagpole?
11. Two boats are in line with a tower whose
top is 48 m above the water. How far apart are
the boats if their angles of depression from the
top of the tower are 23.5 and 27.5 ?
13. Two observers 1600 m apart on a straight road measure the angles of elevation of a
helicopter hovering over the road between them. If these angles are 32.0 and 50.5 , how high
is the helicopter?