Answer:
12
Step-by-step explanation:
4u - 8u = -63 + 15 ( collecting like terms)
-4u = -48
u = 12
I believe it’s the second option, f=14 g=14 with the square root of 3
Answer:
26.6 meters
Step-by-step explanation:
tan = opp/adj
tan28 = opp/50
50 * tan28 = opp
26.59 = opp
Answer:
<u>135.94 feet</u>
Step-by-step explanation:
Split the problem into two parts :
- Distance between viewer and building
- Height of the top part of the building
<u>Distance between viewer and building</u>
- The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
- Let the distance be called 'd'
- Therefore, tan37° = 40/d
- tan37° = 3/4 = 0.75
- ⇒ 40/d = 0.75
- ⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet
<u>Height of the top part of the building</u>
- Let the height of the top part be 'h'
- Therefore, tan61° = h/d = h/53.3
- tan61° = 1.8
- ⇒ h/53.3 = 1.8
- ⇒ h = 53.3 x 1.8 = 95.94 feet
<u>Total height of building</u>
- Lower part + Top part
- 40 + 95.94
- <u>135.94 feet</u>
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Probability of an event= number of ways an event can occur / total number of possible outcomes.
Probability = 6/12 = 0.5
