The range of the function is:
The range of a function is the set of output values the function can take
The function is given as:
The above function is an absolute value function;
And it is represented as:
When a is positive, then the range of the function is:
By comparison, we have:
Hence, the range of the function is:
Read more about range at:
Answer:
x= 32.3 (3 s.f.)
θ= 21.8° (1 d.p.)
α= 68.2° (1 d.p.)
Step-by-step explanation:
Applying Pythagoras' Theorem,
x²= 12² +30²
x²= 144 +900
x²= 1044
Square root both sides:
x= 32.3 (3s.f.)
θ= 21.801° (3 d.p.)
θ= 21.8° (1 d.p.)
= 68.2° (1 d.p.)
Alternatively,
α +θ +90°= 180° (∠ sum of triangle)
α +21.801° +90°= 180°
α +111.801°= 180°
α= 180° -111.801°
α= 68.199°
α= 68.2° (1 d.p.)
