Answer:
- 1st question: c. 75 ft
- 2nd question:b. 20, 21, 29
- 3rd question:

Explanation:
For 1st Question:
Given:
angle =20°
In right angle with respect to angle
Hypotenuse (h) = 80 ft
Adjacent or base(b) = x
Since Relation between Adjacent or base(b) and hypotenuse by cosine angle rule.
We have,

Substituting value

Doing Criss cross multiplications


Therefore, answer is c. 75 ft

For 2nd question:
The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
So, the range of possible lengths for the third side is:

Therefore, the answer is b. , 20,21, 29

For 3rd question:
Given:
angle = 60°
In right angle with respect to angle
Hypotenuse (h) = 14 cm
since all sides of equilateral triangle are equal.
Opposite or perpendicular = x
Since Relation between Opposite or perpendicular and hypotenuse by cosine angle rule.
Since Relation between opposite or perpendicular and hypotenuse by sine angle rule.
We have,

Substituting value

Doing Criss cross multiplications


Therefore, answer is
