He would be 10 miles away from his home. If you draw out the figure, you will get a triangle with bases 6 and 8. Using the Pythagorean theorem, you get 6 squared plus 8 squared equals the distance squared. That’s 36+64=100, square root of that is 10 which is your answer :)
Answer:
≈ 50.7 cm²
Step-by-step explanation:
The area (A) of Δ XYZ is calculated as
A = 
bh ( b is the base and h the perpendicular height ), that is
A = × XY × YZ
Calculate YZ using the tangent ratio in the right triangle
tan40° = 
= 
= 
( multiply both sides by 11 )
11 × tan40° = x , that is
YZ ≈ 9.23 cm
Thus
A = × 11 × 9.23 = 5.5 × 9.23 ≈ 50.7 cm² ( to 3 significant figures )
