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°

Step-by-step explanation:

$6.\quad \tan\ 68^o=\dfrac{x}{14.3}\\\\\\.\quad 14.3 \tan\ 68^o=x\\\\.\quad 35\ meters =x$

$7.\quad \sin \theta =\dfrac{0.7}{4.2}\\\\\\.\qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{1}{6}\bigg)\\\\\\,\qquad \quad \theta =10^o$