Question

Please assist me with these problems and show the work: Part 2 6. The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a metre? 7. A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest degree?

Answer 1

Question 6:

tan 68 = x/14.3

14.3tan(68) = x

35m = x

Question 7:

sinθ = 0.7/4.2

θ = sin^-1(1/6)

θ = 10

Best of Luck!

Answer 2

Answer: 6) 35 meters 7) Ф = 10°

Explanation:

`6.\quad \tan\ 68^o=(x)/(14.3)\\\\\\.\quad 14.3 \tan\ 68^o=x\\\\.\quad 35\ meters =x`

`7.\quad \sin \theta =(0.7)/(4.2)\\\\\\.\qquad \quad \theta=\sin ^(-1)\bigg((1)/(6)\bigg)\\\\\\,\qquad \quad \theta =10^o`