Answer:
distance TS ≈ 19 m (nearest meter)
Step-by-step explanation:
The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R. The adjacent side of the triangle is the side TS.
using tangential ratio
tan 63° = opposite/adjacent
tan 63° = 38/adjacent
cross multiply
adjacent tan 63° = 38
divide both sides by tan 63°
adjacent side = 38/tan 63°
adjacent side = 38/1.96261050551
adjacent side = 19.3619670807
distance TS ≈ 19 m (nearest meter)
Answer:
Option B.
Step-by-step explanation:
The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).
We need to find the coordinates of triangle when it is translated two units left.
So, the rule of translation is
Using this rule, we get
The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).
Therefore, the correct option is B.
<em>24p² + pq - 23q² = </em>
<em>= 24p² + 24pq - 23pq - 23q²</em>
<em>= 24p(p + q) - 23q(p + q)</em>
<em>= (p + q)(24p - 23q)</em>
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Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
Step-by-step explanation:
The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)
Where y is the distance in miles from the town and x represents the time of fly in hours.
So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.
Again, Tasha's balloon is traveling at a rate of 8 miles per hour.
Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.
So, Henry's balloon traveling with the speed of miles per hour.
Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour.
Hope this helps the picture explains how to do it hope its useful:)
