Download Name:_______________________________________________________ Date:___________________________ Period:________

Name:_______________________________________________________
Date:___________________________ Period:________
Trigonometry Topic 1: Right Triangle Trigonometry Notes (Day 2)
Finding an Angle
SOH:
CAH:
TOA:
Example: Using trigonometry find the missing angle. Round to the nearest degree.
A)
Practice Problems: #1 – 2: Using trigonometry find the missing angle. Round to the nearest degree.
1)
2)
3) In
, AB = 18.3 and BC = 11.2. What
is the m<A to the nearest tenth of a degree?
4) In
the m<C = 90, if BC = 16 and AB = 20, then
what is the m<A to the nearest degree?
5) A man standing on level ground is 1,000 feet away from the base of a 350-foot-tall building. Find, to the nearest
degree, the measure of the angle of elevation to the top of the building from the point on the ground where the
man is standing.
6) A wall is supported by a brace 10 feet long, as shown in the diagram below. If one end of the brace
is placed 6 feet from the base of the wall, what is the angle of elevation between the brace and the ground?
7) In the figure, a plane is taxiing at the airport to takeoff. If the plane is 200 yards away from the buildlings and
the buildings are 60 feet tall, what is the angle of elevation to the nearest degree?
Name:_______________________________________________________
Date:___________________________ Period:________
Right Triangle Trigonometry (Day 2) Homework
_____ 1.) The diagram shows
[1]
[2]
[3]
. Which ratio represents the tangent of <PLM?
[4]
_____ 2.) Which equation could be used to find the measure of one acute angle in the right triangle shown below?
[1]
[2]
[3]
[4]
_____ 3.) In
, BC = 10 and AB = 16. To the nearest tenth of a degree, what is the measure of the largest
acute angle in the triangle?
[1] 32.0
[2] 38.7
[3] 51.3
[4] 90.0
4.) The diagram shows the path of a bird that flies from the top of a 9.5 foot –tall sunflower to a point on the
ground 5 feet from the base of the sunflower. To the nearest tenth of a degree, what is the measure of angle x?
5.) In right triangle ABC, AB = 20, AC = 12 and BC = 16, and m<C = 90. Find, to the nearest degree, the m<A.
6.) The center pole of a tent is 8 feet long, and a side of the tent is 12 feet long as shown. If a right angle is formed
where the center pole meets the ground, what is the measure of angle A to the nearest degree?
Review Section:
_____ 7.)A straight edge and compass were used to create the following construction. Which statement is false?
(1)
(2)
(3)
(4)
8.) If the measure of one interior angle of a regular polygon is 135°, find the number of sides that the polygon
has and find the degree measure of one of the exterior angles.
9.) What is
expressed in simplest radical form?
10.) The end of a dogs leash is attached to the top of a 5-foot-tall fence post, as shown. The dog is 7 feet away
from the base of the fence post. How long is the leash, to the nearest tenth of a foot?