Answer:
6. 12.5 cm
7. 0.7241
Step-by-step explanation:
6.
You have 2 right triangles. You can use the Pythagorean theorem for each one.
a^2 + b^2 = c^2
Let y = length of vertical side between triangles.
Left triangle:
5^2 + y^2 = 13^2
25 + y^2 = 169
y^2 = 144
y = 12
Right triangle:
3.5^2 + 12^2 = x^2
12.25 + 144 = x^2
x^2 = 156.25
x = 12.5
Answer: x 12.5 cm
7.
For <X, 2.0 ft is adj leg. 2.9 ft is hyp.
cos X = 2.0/2.9 = 0.6897
X = cos^1 0.6897 = 46.397 deg
sin X = sin 46.397 deg = 0.7241
