The answer should be option C.
Answer:
The answer to your question is below
Step-by-step explanation:
Use trigonometric functions to find x
13. cos 40 = 5/x
x = 5 / cos 40
x = 5 / 0.766
x = 6.5
14. tan 25 = x/9
x = 9tan 25
x = 9(0.466)
x = 4.2
15.- cos 65 = x/12
x = 12 cos 65
x = 12 (0.423)
x = 5.1
16.- sin 32 = 15/x
x = 15 / sin 32
x = 15 / 0.53
x = 28.3
17.- tan 55 = 20 / x
x = 20 / tan 55
x = 20 / 1.42
x = 14
18.- sin31 = x / 18
x = 18 sin 31
x = 18 (0.52)
x = 9.3
Answer:
45
Step-by-step explanation:
Hope this helps.
Answer:
there's no m
Step-by-step explanation:
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
#SPJ4
