Answer:
<h3>#1</h3>
- tangent = opposite leg / adjacent leg
- tan ∠F = DE/ EF
- tan ∠F = 24/7
<u>Option D</u>
<h3>#2</h3>
Sine and cosine are same for complementary angles.
- Complementary of 67° is 90° - 67° = 23°.
- sine 67° = cosine 23°
Let y and z be the no. of students that walk to school, that takes the subway and that takes the bus
We have,
3/y = 1/2
=> y = 6 --- (1)
and,
y/z = 1/3
=> y/z = 1/3 [from (1)]
=> z = 18
Hence the no. of students that takes the bus are 18 students
I hope this helps you
6y-2x=20
2 (3y-x)=2.10
3y-x=10
3y=x+10
y=x+10/3