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Korolek [52]
3 years ago
6

From a point on the ground 47 feet from the foot of a tree, the angle of elevation to the top of the tree is 35º. Find the heigh

t of the tree to the nearest foot.
Mathematics
1 answer:
frez [133]3 years ago
5 0

Answer:

Step-by-step explanation:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

We want to determine the angle of elevation from the point  is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

Therefore, the angle of elevation from the point  is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

I think i might of clicked on gthe wrong question sorry

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Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and
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Direction: 21.64°

Explanation:

1) Decompose each force into its x - y components.

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x-component: F1,x

F1, x = F1 *cos(30°) = 140 pounds * cos(30°) = 121.24 pounds

y-component: F1,y

F1,y = F1 * sin(30°) = 140 pounds * sin(30°) = 70 pounds.

3) Force 2, F2: 75 poounds at 150°

x-component: F2,x

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4.1) magnitude

|Fr| = √ [ (56.29 pouns)^2 + (107.5 pounds)^2 ] = 121.35 pounds.

4.2) direction

tan(α) = Fr,y / Fr,3 = 56.29 pounds / 107.5 pouns = 0.5236

=> α = arctan(0.5236) = 27.64 °


5 0
3 years ago
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