ACT Helper
ACT Helper
Tests
Browse ACT math questions by tests
Topics
Browse ACT math questions by topic
Practice
Practice timed math sections
Search
Open menu
Pricing
|
→
Login
Search
See all search results
Home
Z04 Math
Question 59
2021 April(Z04) Math Question 59
Trigonometry
- Pythagorean Theorem & sin cos tan
Sum of angles of a triangle, The law of sines & The law of cosines
Choice B
{
2
40
}
{
s
i
n
(
180
∘
−
75
∘
−
45
∘
)
}
=
{
S
t
r
i
n
g
}
{
s
i
n
45
∘
}
\frac\{240\}\{sin\; (180^\circ-75^\circ-45^\circ)\}=\frac\{String\}\{sin\; 45^\circ\}
2
{
40
}
{
s
in
(
18
0
∘
−
7
5
∘
−
4
5
∘
)}
=
S
{
t
r
in
g
}
{
s
in
4
5
∘
}
∴
S
t
r
i
n
g
=
240
×
{
s
i
n
45
∘
}
{
s
i
n
60
∘
}
=
80
{
6
}
\therefore String = 240 \times \frac\{sin\; 45^\circ\}\{sin\; 60^\circ\}=80\sqrt\{6\}
∴
St
r
in
g
=
240
×
s
{
in
4
5
∘
}
{
s
in
6
0
∘
}
=
80
{
6
}
Skills you are tested for:
Sum of angles of a triangle
The law of sines & The law of cosines
Was this explanation helpful?
Yes
No
Add your comment
Your mood
Add your mood
Submit
Thanks for your feedback! ❤️
Comments
To leave a comment,
Sign up
or
Log in
Comments