Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS, as shown in t
he figure below. Which could be the measures of angle POS and angle POQ?
(A)m POS = 30°mZPOQ = 50°
(B)mZPOS - 30°,mZPOQ-65°
(C)m POS -25°,mZPOO-65° (D)mZPOS=25mZPOQ -50°
(A)m POS = 30°mZPOQ = 50°
(B)mZPOS - 30°,mZPOQ-65°
(C)m POS -25°,mZPOO-65° (D)mZPOS=25mZPOQ -50°
1 answer:
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Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:
The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:
Solving for h:
Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
