Question

Please answer this math question asap!! 30 points and brainliest!!
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Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Height\:of\:taller\:building\approx 128.9\:ft}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Height \: of \: building = 80 \: ft \\ \\ \tt: \implies Angle \: of \: elevation(1) = 49 \degree \\ \\ \tt: \implies Angle \: of \: elevation(2) = 62\degree \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Height \: of \: taller \: building = ?$

• According to given question :

$\tt: \implies AB = EF= 80 \: ft \\ \\ \tt: \implies IF = HG \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Tan 62 \degree = \frac{EF}{DE} \\ \\ \tt: \implies 1.88 = \frac{80}{DE} \\ \\ \tt: \implies DE = \frac{80}{1.88} \\ \\ \green{\tt: \implies DE \approx 42.55 \: ft} \\ \\ \bold{In \: \triangle IED} \\ \tt: \implies tan \:49 \degree = \frac{IE}{DE} \\ \\ \tt: \implies 1.15 = \frac{IE}{42.55} \\ \\ \tt: \implies IE = 42.55 \times 1.15 \\ \\ \green{\tt: \implies IE \approx 48.93 \: ft} \\ \\ \bold{For \: Height \: of \: taller \: building} \\ \tt: \implies HG =IF \\ \\ \tt: \implies HG =80 + 48.93 \\ \\ \green{\tt: \implies HG \approx128.9\:ft} \\ \\ \green{\tt{\therefore Height \: of \: taller \: building \: is \: \approx 128.9\:ft}}$

Answer 2

ANSWER

143.96 ft

CONCEPT USED

trignometry :- it is a branch of mathmatics used to calculate height and distances . the distances between earth and sun etc measured by used of trignometry

FORMULA USED

tanx = perpendicular / base

perpendicular :- the side which is front of angle

(theta ke samne wali side)

EXPLANATION

see attachment

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