Answer:
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
Answer:
<u>56.5 ft</u>
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
<u>The answer is 56.5 ft</u>
Scale factor is the ratio of two corresponding sides.
Here we have two triangles, where the preimage is the smaller triangle and the image is the larger triangle.
So scale factor =14/18 = 7/9
And to find the missing variable, we need to set the ratio.
7/9 = 28/x
Cross multiplying both sides
7x = 28*9
x = 36