Answer:
Step-by-step explanation:
1/2, 0.67, 3 2/3, 3.7, 32, 32.3
Answer: The distance from the campsite to the foot of the mountain is 2310 ft (approx)
Step-by-step explanation: We have been given that the scout on the mountain top has spotted a campsite and he did so while looking down from a 33° angle of depression. If we label his position as point A, the foot of the mountain as point B and the campsite as point C, then it means the scout has formed an angle of 57° between point A and point B. Now we have a right angled triangle ABC with angle A measuring 57°
Using the trigonometrical ratio of tangent
Tan A = opposite/adjacent
Tan 57 = BC/1500
1.5399 = BC/1500
When you cross multiply both sides you have
1.5399 × 1500 = BC
2309.85 = BC
Approximated to the nearest foot,
BC = 2,310 ft
In terms of "ratio units," the length of AC is 3+7=10, so each one is worth 120/10 = 12. The length BC is 7 of those, or 7·12 = 84.
Answer:
angles 1 and 2 are not congruent (A)
Step-by-step explanation:
They are supplementary angles. The only way for supplementary angles to be congruent is that they both are equal to 90 degrees. We can see in this figure that they are not right angles. Therefore, we can conclude they are not congruent. HTH :)
The highlighted ones i’m unsure of, the circled in red answer is the mixed fraction answer and the work in red is how i got to the mixed fraction answer, If this helps you please rate 5 stars! this was tedious