Answer:
142.0842
Step-by-step explanation:
Look at the figure below.
Use the altitude to create two right triangles, a blue one to the left and a red one to the right.
We need to find x, and x = a + b.
We can find a from the blue triangle, and we can find b from the red triangle.
Blue triangle:
tan 65° = opp/adj
tan 65° = 75/a
a * tan 65° = 75
a = 75/tan 65°
Red triangle:
tan 35° = opp/adj
tan 35° = 75/b
b * tan 35° = 75
b = 75/tan 35°
x = a + b
x = 75/tan 65° + 75/tan 35°
x = 34.97307436 + 107.1111005
x = 142.0841749
Answer: 142.0842
