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Delvig [45]
2 years ago
7

A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on

a point on the floor near the main entrance door . The camera's horizontal distance of 26 feet from the the focus point on the floor.How high above the floor is the camera Round your answer to the nearest hundredth.
Mathematics
1 answer:
777dan777 [17]2 years ago
7 0

Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

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The equation would be

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Determine whether the given triangle has no solution, one solution or two solutions. Then solve the triangle. Round measures of
yuradex [85]

Answer:

The triangle has one solution. The remaining side c ≈ 4 and remaining angles B = 30°; C = 31°.

Option D is correct.

Step-by-step explanation:

if angle A is obtuse and if a > b then the triangle has one solution

We are given ∠ = 119° which is obtuse and side a= 7 and side b - 4 i.e 7>4 so, the triangle has one solution.

Finding remaining side c and ∠B and ∠C

Using Law of sines to find ∠B

a/sin A = b/sin B

7/sin 119° = 4/sin B

7 * sin B = 4 * sin 119

7*sin B = 4(0.874)

sin B = 3.496/7

B = sin^-1(0.4994)

B = 29.96 = 30°

We know that sum of angles of triangle = 180°

So, 180° = 119° + 30° +∠C

180° = 149° + ∠C

=> ∠C = 180° - 149°

∠C = 31°

Now finding c

b/sin B = c /sin C

4/Sin 30 = c/sin 31

4* sin 31 = c*sin 30

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=> c =  4*0.515/0.5

c = 4.12 ≈ 4

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7 0
3 years ago
Triple my number add six and subtract my number twice I get my number plus three
liberstina [14]
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If we solve this equation for x, we will get:
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Hi

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Just let me know if this helps

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mart [117]

Answer:

See the proof below.

Step-by-step explanation:

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E(S^2_p)= \frac{(n_1 -1) +(n_2 -1)}{n_1 +n_2 -2} \sigma^2 =\sigma^2

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