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irinina [24]
3 years ago
13

What is the area of a triangle

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0
The equation is one half times the base times the height.
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Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

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:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

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:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

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

7 0
2 years ago
It took Everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
slega [8]
\bf \cfrac{10km}{55mins}\cdot \cfrac{0.621miles}{1km}\implies \cfrac{62.1miles}{55mins}\approx 1.12909909\approx \boxed{1.13\frac{miles}{mins}}
5 0
3 years ago
To start a taco food truck service, a woman borrowed $7,500. If the loan was for 5 years and the amount of interest was $3187.50
Inga [223]

Answer:

The interest rate was 42.5%.

Step-by-step explanation:

8 0
2 years ago
Jay had to pain part of the outside of this house he spend 7 hours painting one side and 12 hours painting another how long did
stich3 [128]

Answer:

19 hours

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Three interior angles of a quardilateral have measures of 100 degress, 120 degress, and 80 degress. Find the foourth angle measu
Delicious77 [7]

Answer:

60 degrees

Step-by-step explanation:

100+120+80+x=360

300+x=360

x=60

8 0
3 years ago
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