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Answer:
Cliff is 45 m tall.
Step-by-step explanation:
Given:
Height of Sarah = 1.8 m
Angle of elevation = 60°
Angle of elevation 50 m back = 30°
As shown in the figure we have two right angled triangles SPQ and SPR.
Let the height of the cliff be meters and
.
Using trigonometric ratios:
tan (Ф) = opposite/adjacent
In ΔSPQ. In ΔSPR.
⇒ ...equation (i) ⇒
...equation (ii)
Dividing equation (i) and (ii)
⇒
⇒
⇒
⇒
⇒
⇒
⇒ meters
To find plugging
in equation (i)
⇒
⇒
⇒ meters
The height of the cliff from ground :
⇒
⇒
⇒ meters
The cliff is 45 m tall to the nearest meter.
Answer:
1
Step-by-step explanation:
The average rate of change is measured as
in the closed interval [ a, b ]
here [ a, b ] = [ - 5, 5 ]
f(b) = f(5) = - 5² + 5 + 3 = - 25 + 8 = - 17
f(a) = f(- 5) = -(- 5)² - 5 + 3 = - 25 - 2 = - 27
Hence
average rate of change = =
= 1