Geometry
Right Triangles Day 6 WARM UP
Name ________________
Date ____________
1. State if the triangle is acute, obtuse, or right.
2. Find the unknown side length of the right triangle using the Pythagorean Theorem. Then show
how to reduce it down to its common Pythagorean triple.
x
48
Find the missing side lengths. Leave answers in simplest radical form.
3.
4.
5.
Solve the equation.
6. 12 
x 3
2
7.
24
3
x
8.
9  2x
8
x
14
SohCahToa
trigonometric ratio –
3 basic trig ratios:
side opposite A a

hypotenuse
c
sin A =
side adjacent A b

hypotenuse
c
cos A =
side opposite A a

side adjacent A b
B
hypotenuse
c
a
side
opposite A
tan A =
A
C
b
side adjacent A
Examples
Find the sin, cos, and tan ratios for each acute angle in the triangle. Write each answer as a fraction
and as a decimal rounded to four places.
S
1.
2.
65
B
16
17
8
R
A
15
C
63
T
Find the value of x (and y).
3.
4.
18
x
x
32
32
11
y
y
5.
10
48
x
6. You want to build a skateboard ramp with a length of 14 feet and an angle of elevation of 26°.
Find the height and length of the base of the ramp.
7. You are skiing on a mountain with an altitude of 1200 meters. The angle of depression is 21°.
About how far do you ski down the mountain?